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Finding the Fourth Proportional to 23,760.34, 32,791.71 and 13,689.16

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Solution

The fourth proportional to 23,760.34, 32,791.71 and 13,689.16 is: 18,892.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,760.34 : 32,791.71 = 13,689.16 : x
  2. Step 2: Convert to fraction form
    23,760.34/32,791.71 = 13,689.16/x
  3. Step 3: Cross multiply
    23,760.34x = 32,791.71 × 13,689.16
  4. Step 4: Simplify right side
    23,760.34x = 448,890,964.86
  5. Step 5: Solve for x
    x = 448,890,964.86/23,760.34
  6. Step 6: Final answer
    x = 18,892.45

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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.