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Finding the Fourth Proportional to 17,865.38, 24,654.23 and 9,908.82

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Solution

The fourth proportional to 17,865.38, 24,654.23 and 9,908.82 is: 13,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865.38 : 24,654.23 = 9,908.82 : x
  2. Step 2: Convert to fraction form
    17,865.38/24,654.23 = 9,908.82/x
  3. Step 3: Cross multiply
    17,865.38x = 24,654.23 × 9,908.82
  4. Step 4: Simplify right side
    17,865.38x = 244,294,277.76
  5. Step 5: Solve for x
    x = 244,294,277.76/17,865.38
  6. Step 6: Final answer
    x = 13,674.18

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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.