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Finding the Fourth Proportional to 19,442, 29,167.96 and 5,591.04

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Solution

The fourth proportional to 19,442, 29,167.96 and 5,591.04 is: 8,387.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,442 : 29,167.96 = 5,591.04 : x
  2. Step 2: Convert to fraction form
    19,442/29,167.96 = 5,591.04/x
  3. Step 3: Cross multiply
    19,442x = 29,167.96 × 5,591.04
  4. Step 4: Simplify right side
    19,442x = 163,079,231.08
  5. Step 5: Solve for x
    x = 163,079,231.08/19,442
  6. Step 6: Final answer
    x = 8,387.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.