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Finding the Fourth Proportional to 22,757.34, 34,151.49 and 13,965.42

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Solution

The fourth proportional to 22,757.34, 34,151.49 and 13,965.42 is: 20,957.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.34 : 34,151.49 = 13,965.42 : x
  2. Step 2: Convert to fraction form
    22,757.34/34,151.49 = 13,965.42/x
  3. Step 3: Cross multiply
    22,757.34x = 34,151.49 × 13,965.42
  4. Step 4: Simplify right side
    22,757.34x = 476,939,901.48
  5. Step 5: Solve for x
    x = 476,939,901.48/22,757.34
  6. Step 6: Final answer
    x = 20,957.63

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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.