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Finding the Fourth Proportional to 17,864.78, 24,654.85 and 9,909.56

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Solution

The fourth proportional to 17,864.78, 24,654.85 and 9,909.56 is: 13,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864.78 : 24,654.85 = 9,909.56 : x
  2. Step 2: Convert to fraction form
    17,864.78/24,654.85 = 9,909.56/x
  3. Step 3: Cross multiply
    17,864.78x = 24,654.85 × 9,909.56
  4. Step 4: Simplify right side
    17,864.78x = 244,318,752.23
  5. Step 5: Solve for x
    x = 244,318,752.23/17,864.78
  6. Step 6: Final answer
    x = 13,676.01

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