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Finding the Fourth Proportional to 23,882.96, 32,957.68 and 13,127.88

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Solution

The fourth proportional to 23,882.96, 32,957.68 and 13,127.88 is: 18,116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.96 : 32,957.68 = 13,127.88 : x
  2. Step 2: Convert to fraction form
    23,882.96/32,957.68 = 13,127.88/x
  3. Step 3: Cross multiply
    23,882.96x = 32,957.68 × 13,127.88
  4. Step 4: Simplify right side
    23,882.96x = 432,664,468.12
  5. Step 5: Solve for x
    x = 432,664,468.12/23,882.96
  6. Step 6: Final answer
    x = 18,116.03

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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.