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Finding the Fourth Proportional to 22,465.80, 31,003.20 and 12,394.80

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Solution

The fourth proportional to 22,465.80, 31,003.20 and 12,394.80 is: 17,105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.80 : 31,003.20 = 12,394.80 : x
  2. Step 2: Convert to fraction form
    22,465.80/31,003.20 = 12,394.80/x
  3. Step 3: Cross multiply
    22,465.80x = 31,003.20 × 12,394.80
  4. Step 4: Simplify right side
    22,465.80x = 384,278,463.36
  5. Step 5: Solve for x
    x = 384,278,463.36/22,465.80
  6. Step 6: Final answer
    x = 17,105.04

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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.