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Finding the Fourth Proportional to 16,102.52, 24,149.10 and 6,239.60

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Solution

The fourth proportional to 16,102.52, 24,149.10 and 6,239.60 is: 9,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.52 : 24,149.10 = 6,239.60 : x
  2. Step 2: Convert to fraction form
    16,102.52/24,149.10 = 6,239.60/x
  3. Step 3: Cross multiply
    16,102.52x = 24,149.10 × 6,239.60
  4. Step 4: Simplify right side
    16,102.52x = 150,680,724.36
  5. Step 5: Solve for x
    x = 150,680,724.36/16,102.52
  6. Step 6: Final answer
    x = 9,357.59

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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.