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Finding the Fourth Proportional to 22,729.43, 34,099.52 and 7,147.06

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Solution

The fourth proportional to 22,729.43, 34,099.52 and 7,147.06 is: 10,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,729.43 : 34,099.52 = 7,147.06 : x
  2. Step 2: Convert to fraction form
    22,729.43/34,099.52 = 7,147.06/x
  3. Step 3: Cross multiply
    22,729.43x = 34,099.52 × 7,147.06
  4. Step 4: Simplify right side
    22,729.43x = 243,711,194.43
  5. Step 5: Solve for x
    x = 243,711,194.43/22,729.43
  6. Step 6: Final answer
    x = 10,722.27

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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.