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Finding the Fourth Proportional to 19,644.24, 29,471.04 and 5,793.24

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Solution

The fourth proportional to 19,644.24, 29,471.04 and 5,793.24 is: 8,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.24 : 29,471.04 = 5,793.24 : x
  2. Step 2: Convert to fraction form
    19,644.24/29,471.04 = 5,793.24/x
  3. Step 3: Cross multiply
    19,644.24x = 29,471.04 × 5,793.24
  4. Step 4: Simplify right side
    19,644.24x = 170,732,807.77
  5. Step 5: Solve for x
    x = 170,732,807.77/19,644.24
  6. Step 6: Final answer
    x = 8,691.24

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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.