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Finding the Fourth Proportional to 23,864.52, 32,932.86 and 13,254.14

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Solution

The fourth proportional to 23,864.52, 32,932.86 and 13,254.14 is: 18,290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,864.52 : 32,932.86 = 13,254.14 : x
  2. Step 2: Convert to fraction form
    23,864.52/32,932.86 = 13,254.14/x
  3. Step 3: Cross multiply
    23,864.52x = 32,932.86 × 13,254.14
  4. Step 4: Simplify right side
    23,864.52x = 436,496,737.04
  5. Step 5: Solve for x
    x = 436,496,737.04/23,864.52
  6. Step 6: Final answer
    x = 18,290.61

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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.