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Finding the Fourth Proportional to 23,732.56, 32,748 and 13,122.40

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Solution

The fourth proportional to 23,732.56, 32,748 and 13,122.40 is: 18,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,732.56 : 32,748 = 13,122.40 : x
  2. Step 2: Convert to fraction form
    23,732.56/32,748 = 13,122.40/x
  3. Step 3: Cross multiply
    23,732.56x = 32,748 × 13,122.40
  4. Step 4: Simplify right side
    23,732.56x = 429,732,355.20
  5. Step 5: Solve for x
    x = 429,732,355.20/23,732.56
  6. Step 6: Final answer
    x = 18,107.29

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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.