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Finding the Fourth Proportional to 16,078.40, 24,115.44 and 5,697.44

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Solution

The fourth proportional to 16,078.40, 24,115.44 and 5,697.44 is: 8,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.40 : 24,115.44 = 5,697.44 : x
  2. Step 2: Convert to fraction form
    16,078.40/24,115.44 = 5,697.44/x
  3. Step 3: Cross multiply
    16,078.40x = 24,115.44 × 5,697.44
  4. Step 4: Simplify right side
    16,078.40x = 137,396,272.47
  5. Step 5: Solve for x
    x = 137,396,272.47/16,078.40
  6. Step 6: Final answer
    x = 8,545.39

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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.