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Finding the Fourth Proportional to 16,296.57, 24,445.31 and 5,765.10

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Solution

The fourth proportional to 16,296.57, 24,445.31 and 5,765.10 is: 8,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,296.57 : 24,445.31 = 5,765.10 : x
  2. Step 2: Convert to fraction form
    16,296.57/24,445.31 = 5,765.10/x
  3. Step 3: Cross multiply
    16,296.57x = 24,445.31 × 5,765.10
  4. Step 4: Simplify right side
    16,296.57x = 140,929,656.68
  5. Step 5: Solve for x
    x = 140,929,656.68/16,296.57
  6. Step 6: Final answer
    x = 8,647.81

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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.