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Finding the Fourth Proportional to 16,102.89, 24,147.03 and 5,006.31

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Solution

The fourth proportional to 16,102.89, 24,147.03 and 5,006.31 is: 7,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.89 : 24,147.03 = 5,006.31 : x
  2. Step 2: Convert to fraction form
    16,102.89/24,147.03 = 5,006.31/x
  3. Step 3: Cross multiply
    16,102.89x = 24,147.03 × 5,006.31
  4. Step 4: Simplify right side
    16,102.89x = 120,887,517.76
  5. Step 5: Solve for x
    x = 120,887,517.76/16,102.89
  6. Step 6: Final answer
    x = 7,507.19

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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.