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Finding the Fourth Proportional to 22,759.48, 34,082.22 and 14,414.32

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Solution

The fourth proportional to 22,759.48, 34,082.22 and 14,414.32 is: 21,585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,759.48 : 34,082.22 = 14,414.32 : x
  2. Step 2: Convert to fraction form
    22,759.48/34,082.22 = 14,414.32/x
  3. Step 3: Cross multiply
    22,759.48x = 34,082.22 × 14,414.32
  4. Step 4: Simplify right side
    22,759.48x = 491,272,025.39
  5. Step 5: Solve for x
    x = 491,272,025.39/22,759.48
  6. Step 6: Final answer
    x = 21,585.38

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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.