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Finding the Fourth Proportional to 22,765.65, 34,138.23 and 8,715.85

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Solution

The fourth proportional to 22,765.65, 34,138.23 and 8,715.85 is: 13,069.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.65 : 34,138.23 = 8,715.85 : x
  2. Step 2: Convert to fraction form
    22,765.65/34,138.23 = 8,715.85/x
  3. Step 3: Cross multiply
    22,765.65x = 34,138.23 × 8,715.85
  4. Step 4: Simplify right side
    22,765.65x = 297,543,691.95
  5. Step 5: Solve for x
    x = 297,543,691.95/22,765.65
  6. Step 6: Final answer
    x = 13,069.85

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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.