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Finding the Fourth Proportional to 22,325.63, 30,809.36 and 12,894.19

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Solution

The fourth proportional to 22,325.63, 30,809.36 and 12,894.19 is: 17,793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,325.63 : 30,809.36 = 12,894.19 : x
  2. Step 2: Convert to fraction form
    22,325.63/30,809.36 = 12,894.19/x
  3. Step 3: Cross multiply
    22,325.63x = 30,809.36 × 12,894.19
  4. Step 4: Simplify right side
    22,325.63x = 397,261,696.83
  5. Step 5: Solve for x
    x = 397,261,696.83/22,325.63
  6. Step 6: Final answer
    x = 17,793.98

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.