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Finding the Fourth Proportional to 22,917.67, 34,376.54 and 6,277.85

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Solution

The fourth proportional to 22,917.67, 34,376.54 and 6,277.85 is: 9,416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,917.67 : 34,376.54 = 6,277.85 : x
  2. Step 2: Convert to fraction form
    22,917.67/34,376.54 = 6,277.85/x
  3. Step 3: Cross multiply
    22,917.67x = 34,376.54 × 6,277.85
  4. Step 4: Simplify right side
    22,917.67x = 215,810,687.28
  5. Step 5: Solve for x
    x = 215,810,687.28/22,917.67
  6. Step 6: Final answer
    x = 9,416.78

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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.