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Finding the Fourth Proportional to 12,766.86, 19,149.03 and 4,001.85

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Solution

The fourth proportional to 12,766.86, 19,149.03 and 4,001.85 is: 6,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.86 : 19,149.03 = 4,001.85 : x
  2. Step 2: Convert to fraction form
    12,766.86/19,149.03 = 4,001.85/x
  3. Step 3: Cross multiply
    12,766.86x = 19,149.03 × 4,001.85
  4. Step 4: Simplify right side
    12,766.86x = 76,631,545.71
  5. Step 5: Solve for x
    x = 76,631,545.71/12,766.86
  6. Step 6: Final answer
    x = 6,002.38

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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.