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Finding the Fourth Proportional to 22,781.08, 34,169.08 and 6,142.77

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Solution

The fourth proportional to 22,781.08, 34,169.08 and 6,142.77 is: 9,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,781.08 : 34,169.08 = 6,142.77 : x
  2. Step 2: Convert to fraction form
    22,781.08/34,169.08 = 6,142.77/x
  3. Step 3: Cross multiply
    22,781.08x = 34,169.08 × 6,142.77
  4. Step 4: Simplify right side
    22,781.08x = 209,892,799.55
  5. Step 5: Solve for x
    x = 209,892,799.55/22,781.08
  6. Step 6: Final answer
    x = 9,213.47

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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.