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Finding the Fourth Proportional to 22,715.46, 34,063.46 and 7,920

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Solution

The fourth proportional to 22,715.46, 34,063.46 and 7,920 is: 11,876.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,715.46 : 34,063.46 = 7,920 : x
  2. Step 2: Convert to fraction form
    22,715.46/34,063.46 = 7,920/x
  3. Step 3: Cross multiply
    22,715.46x = 34,063.46 × 7,920
  4. Step 4: Simplify right side
    22,715.46x = 269,782,603.20
  5. Step 5: Solve for x
    x = 269,782,603.20/22,715.46
  6. Step 6: Final answer
    x = 11,876.61

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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.