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Finding the Fourth Proportional to 22,939.32, 34,414.38 and 7,143.60

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Solution

The fourth proportional to 22,939.32, 34,414.38 and 7,143.60 is: 10,717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,939.32 : 34,414.38 = 7,143.60 : x
  2. Step 2: Convert to fraction form
    22,939.32/34,414.38 = 7,143.60/x
  3. Step 3: Cross multiply
    22,939.32x = 34,414.38 × 7,143.60
  4. Step 4: Simplify right side
    22,939.32x = 245,842,564.97
  5. Step 5: Solve for x
    x = 245,842,564.97/22,939.32
  6. Step 6: Final answer
    x = 10,717.08

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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.