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Finding the Fourth Proportional to 16,078.67, 24,120.74 and 5,545.83

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Solution

The fourth proportional to 16,078.67, 24,120.74 and 5,545.83 is: 8,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.67 : 24,120.74 = 5,545.83 : x
  2. Step 2: Convert to fraction form
    16,078.67/24,120.74 = 5,545.83/x
  3. Step 3: Cross multiply
    16,078.67x = 24,120.74 × 5,545.83
  4. Step 4: Simplify right side
    16,078.67x = 133,769,495.79
  5. Step 5: Solve for x
    x = 133,769,495.79/16,078.67
  6. Step 6: Final answer
    x = 8,319.69

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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.