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Finding the Fourth Proportional to 22,942.32, 34,418.88 and 7,146.56

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Solution

The fourth proportional to 22,942.32, 34,418.88 and 7,146.56 is: 10,721.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942.32 : 34,418.88 = 7,146.56 : x
  2. Step 2: Convert to fraction form
    22,942.32/34,418.88 = 7,146.56/x
  3. Step 3: Cross multiply
    22,942.32x = 34,418.88 × 7,146.56
  4. Step 4: Simplify right side
    22,942.32x = 245,976,591.05
  5. Step 5: Solve for x
    x = 245,976,591.05/22,942.32
  6. Step 6: Final answer
    x = 10,721.52

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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.