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Finding the Fourth Proportional to 22,728.90, 34,098.71 and 7,146.53

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Solution

The fourth proportional to 22,728.90, 34,098.71 and 7,146.53 is: 10,721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,728.90 : 34,098.71 = 7,146.53 : x
  2. Step 2: Convert to fraction form
    22,728.90/34,098.71 = 7,146.53/x
  3. Step 3: Cross multiply
    22,728.90x = 34,098.71 × 7,146.53
  4. Step 4: Simplify right side
    22,728.90x = 243,687,247.75
  5. Step 5: Solve for x
    x = 243,687,247.75/22,728.90
  6. Step 6: Final answer
    x = 10,721.47

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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.