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Finding the Fourth Proportional to 16,294.57, 24,442.31 and 5,763.10

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Solution

The fourth proportional to 16,294.57, 24,442.31 and 5,763.10 is: 8,644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.57 : 24,442.31 = 5,763.10 : x
  2. Step 2: Convert to fraction form
    16,294.57/24,442.31 = 5,763.10/x
  3. Step 3: Cross multiply
    16,294.57x = 24,442.31 × 5,763.10
  4. Step 4: Simplify right side
    16,294.57x = 140,863,500.11
  5. Step 5: Solve for x
    x = 140,863,500.11/16,294.57
  6. Step 6: Final answer
    x = 8,644.81

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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.