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Finding the Fourth Proportional to 22,454.02, 30,986.54 and 12,894.54

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Solution

The fourth proportional to 22,454.02, 30,986.54 and 12,894.54 is: 17,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,454.02 : 30,986.54 = 12,894.54 : x
  2. Step 2: Convert to fraction form
    22,454.02/30,986.54 = 12,894.54/x
  3. Step 3: Cross multiply
    22,454.02x = 30,986.54 × 12,894.54
  4. Step 4: Simplify right side
    22,454.02x = 399,557,047.17
  5. Step 5: Solve for x
    x = 399,557,047.17/22,454.02
  6. Step 6: Final answer
    x = 17,794.45

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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.