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Finding the Fourth Proportional to 19,713.38, 29,568.38 and 7,232.90

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Solution

The fourth proportional to 19,713.38, 29,568.38 and 7,232.90 is: 10,848.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713.38 : 29,568.38 = 7,232.90 : x
  2. Step 2: Convert to fraction form
    19,713.38/29,568.38 = 7,232.90/x
  3. Step 3: Cross multiply
    19,713.38x = 29,568.38 × 7,232.90
  4. Step 4: Simplify right side
    19,713.38x = 213,864,951.70
  5. Step 5: Solve for x
    x = 213,864,951.70/19,713.38
  6. Step 6: Final answer
    x = 10,848.72

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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.