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Finding the Fourth Proportional to 22,730.56, 34,101.30 and 7,148.17

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Solution

The fourth proportional to 22,730.56, 34,101.30 and 7,148.17 is: 10,723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,730.56 : 34,101.30 = 7,148.17 : x
  2. Step 2: Convert to fraction form
    22,730.56/34,101.30 = 7,148.17/x
  3. Step 3: Cross multiply
    22,730.56x = 34,101.30 × 7,148.17
  4. Step 4: Simplify right side
    22,730.56x = 243,761,889.62
  5. Step 5: Solve for x
    x = 243,761,889.62/22,730.56
  6. Step 6: Final answer
    x = 10,723.97

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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.