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Finding the Fourth Proportional to 22,874.88, 34,317.76 and 9,727.68

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Solution

The fourth proportional to 22,874.88, 34,317.76 and 9,727.68 is: 14,593.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.88 : 34,317.76 = 9,727.68 : x
  2. Step 2: Convert to fraction form
    22,874.88/34,317.76 = 9,727.68/x
  3. Step 3: Cross multiply
    22,874.88x = 34,317.76 × 9,727.68
  4. Step 4: Simplify right side
    22,874.88x = 333,832,187.60
  5. Step 5: Solve for x
    x = 333,832,187.60/22,874.88
  6. Step 6: Final answer
    x = 14,593.83

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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.