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Finding the Fourth Proportional to 17,942.30, 24,760.04 and 9,984.45

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Solution

The fourth proportional to 17,942.30, 24,760.04 and 9,984.45 is: 13,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,942.30 : 24,760.04 = 9,984.45 : x
  2. Step 2: Convert to fraction form
    17,942.30/24,760.04 = 9,984.45/x
  3. Step 3: Cross multiply
    17,942.30x = 24,760.04 × 9,984.45
  4. Step 4: Simplify right side
    17,942.30x = 247,215,381.38
  5. Step 5: Solve for x
    x = 247,215,381.38/17,942.30
  6. Step 6: Final answer
    x = 13,778.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.