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Finding the Fourth Proportional to 17,869.28, 24,660.96 and 9,911.44

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Solution

The fourth proportional to 17,869.28, 24,660.96 and 9,911.44 is: 13,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,869.28 : 24,660.96 = 9,911.44 : x
  2. Step 2: Convert to fraction form
    17,869.28/24,660.96 = 9,911.44/x
  3. Step 3: Cross multiply
    17,869.28x = 24,660.96 × 9,911.44
  4. Step 4: Simplify right side
    17,869.28x = 244,425,625.38
  5. Step 5: Solve for x
    x = 244,425,625.38/17,869.28
  6. Step 6: Final answer
    x = 13,678.54

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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.