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Finding the Fourth Proportional to 22,385.75, 33,578.42 and 8,345.30

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Solution

The fourth proportional to 22,385.75, 33,578.42 and 8,345.30 is: 12,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,385.75 : 33,578.42 = 8,345.30 : x
  2. Step 2: Convert to fraction form
    22,385.75/33,578.42 = 8,345.30/x
  3. Step 3: Cross multiply
    22,385.75x = 33,578.42 × 8,345.30
  4. Step 4: Simplify right side
    22,385.75x = 280,221,778.81
  5. Step 5: Solve for x
    x = 280,221,778.81/22,385.75
  6. Step 6: Final answer
    x = 12,517.87

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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.