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Finding the Fourth Proportional to 22,641.28, 31,223.21 and 13,565.18

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Solution

The fourth proportional to 22,641.28, 31,223.21 and 13,565.18 is: 18,706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.28 : 31,223.21 = 13,565.18 : x
  2. Step 2: Convert to fraction form
    22,641.28/31,223.21 = 13,565.18/x
  3. Step 3: Cross multiply
    22,641.28x = 31,223.21 × 13,565.18
  4. Step 4: Simplify right side
    22,641.28x = 423,548,575.80
  5. Step 5: Solve for x
    x = 423,548,575.80/22,641.28
  6. Step 6: Final answer
    x = 18,706.92

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