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Finding the Fourth Proportional to 22,722.92, 34,055.66 and 10,229.64

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Solution

The fourth proportional to 22,722.92, 34,055.66 and 10,229.64 is: 15,331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,722.92 : 34,055.66 = 10,229.64 : x
  2. Step 2: Convert to fraction form
    22,722.92/34,055.66 = 10,229.64/x
  3. Step 3: Cross multiply
    22,722.92x = 34,055.66 × 10,229.64
  4. Step 4: Simplify right side
    22,722.92x = 348,377,141.76
  5. Step 5: Solve for x
    x = 348,377,141.76/22,722.92
  6. Step 6: Final answer
    x = 15,331.53

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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.