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Finding the Fourth Proportional to 16,233.67, 24,351.58 and 5,702.41

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Solution

The fourth proportional to 16,233.67, 24,351.58 and 5,702.41 is: 8,553.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.67 : 24,351.58 = 5,702.41 : x
  2. Step 2: Convert to fraction form
    16,233.67/24,351.58 = 5,702.41/x
  3. Step 3: Cross multiply
    16,233.67x = 24,351.58 × 5,702.41
  4. Step 4: Simplify right side
    16,233.67x = 138,862,543.04
  5. Step 5: Solve for x
    x = 138,862,543.04/16,233.67
  6. Step 6: Final answer
    x = 8,553.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.