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Finding the Fourth Proportional to 22,715.87, 34,078.85 and 6,922.31

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Solution

The fourth proportional to 22,715.87, 34,078.85 and 6,922.31 is: 10,385.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,715.87 : 34,078.85 = 6,922.31 : x
  2. Step 2: Convert to fraction form
    22,715.87/34,078.85 = 6,922.31/x
  3. Step 3: Cross multiply
    22,715.87x = 34,078.85 × 6,922.31
  4. Step 4: Simplify right side
    22,715.87x = 235,904,396.26
  5. Step 5: Solve for x
    x = 235,904,396.26/22,715.87
  6. Step 6: Final answer
    x = 10,385.00

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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.