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Finding the Fourth Proportional to 22,850.31, 34,279.07 and 9,702.75

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Solution

The fourth proportional to 22,850.31, 34,279.07 and 9,702.75 is: 14,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,850.31 : 34,279.07 = 9,702.75 : x
  2. Step 2: Convert to fraction form
    22,850.31/34,279.07 = 9,702.75/x
  3. Step 3: Cross multiply
    22,850.31x = 34,279.07 × 9,702.75
  4. Step 4: Simplify right side
    22,850.31x = 332,601,197.93
  5. Step 5: Solve for x
    x = 332,601,197.93/22,850.31
  6. Step 6: Final answer
    x = 14,555.65

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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.