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Finding the Fourth Proportional to 19,382.27, 29,073.50 and 6,902.78

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Solution

The fourth proportional to 19,382.27, 29,073.50 and 6,902.78 is: 10,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,382.27 : 29,073.50 = 6,902.78 : x
  2. Step 2: Convert to fraction form
    19,382.27/29,073.50 = 6,902.78/x
  3. Step 3: Cross multiply
    19,382.27x = 29,073.50 × 6,902.78
  4. Step 4: Simplify right side
    19,382.27x = 200,687,794.45
  5. Step 5: Solve for x
    x = 200,687,794.45/19,382.27
  6. Step 6: Final answer
    x = 10,354.20

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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.