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Finding the Fourth Proportional to 22,734.34, 34,098.27 and 7,151.56

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Solution

The fourth proportional to 22,734.34, 34,098.27 and 7,151.56 is: 10,726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,734.34 : 34,098.27 = 7,151.56 : x
  2. Step 2: Convert to fraction form
    22,734.34/34,098.27 = 7,151.56/x
  3. Step 3: Cross multiply
    22,734.34x = 34,098.27 × 7,151.56
  4. Step 4: Simplify right side
    22,734.34x = 243,855,823.80
  5. Step 5: Solve for x
    x = 243,855,823.80/22,734.34
  6. Step 6: Final answer
    x = 10,726.32

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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.