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Finding the Fourth Proportional to 8,229.69, 12,345.75 and 2,385.54

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Solution

The fourth proportional to 8,229.69, 12,345.75 and 2,385.54 is: 3,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.69 : 12,345.75 = 2,385.54 : x
  2. Step 2: Convert to fraction form
    8,229.69/12,345.75 = 2,385.54/x
  3. Step 3: Cross multiply
    8,229.69x = 12,345.75 × 2,385.54
  4. Step 4: Simplify right side
    8,229.69x = 29,451,280.46
  5. Step 5: Solve for x
    x = 29,451,280.46/8,229.69
  6. Step 6: Final answer
    x = 3,578.66

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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.