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Finding the Fourth Proportional to 17,864.72, 24,653.17 and 9,906.97

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Solution

The fourth proportional to 17,864.72, 24,653.17 and 9,906.97 is: 13,671.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864.72 : 24,653.17 = 9,906.97 : x
  2. Step 2: Convert to fraction form
    17,864.72/24,653.17 = 9,906.97/x
  3. Step 3: Cross multiply
    17,864.72x = 24,653.17 × 9,906.97
  4. Step 4: Simplify right side
    17,864.72x = 244,238,215.59
  5. Step 5: Solve for x
    x = 244,238,215.59/17,864.72
  6. Step 6: Final answer
    x = 13,671.54

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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.