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Finding the Fourth Proportional to 23,411.20, 32,306.48 and 12,801.20

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Solution

The fourth proportional to 23,411.20, 32,306.48 and 12,801.20 is: 17,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411.20 : 32,306.48 = 12,801.20 : x
  2. Step 2: Convert to fraction form
    23,411.20/32,306.48 = 12,801.20/x
  3. Step 3: Cross multiply
    23,411.20x = 32,306.48 × 12,801.20
  4. Step 4: Simplify right side
    23,411.20x = 413,561,711.78
  5. Step 5: Solve for x
    x = 413,561,711.78/23,411.20
  6. Step 6: Final answer
    x = 17,665.12

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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.