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Finding the Fourth Proportional to 19,591.28, 29,388.84 and 5,742.32

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Solution

The fourth proportional to 19,591.28, 29,388.84 and 5,742.32 is: 8,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,591.28 : 29,388.84 = 5,742.32 : x
  2. Step 2: Convert to fraction form
    19,591.28/29,388.84 = 5,742.32/x
  3. Step 3: Cross multiply
    19,591.28x = 29,388.84 × 5,742.32
  4. Step 4: Simplify right side
    19,591.28x = 168,760,123.71
  5. Step 5: Solve for x
    x = 168,760,123.71/19,591.28
  6. Step 6: Final answer
    x = 8,614.04

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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.