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Finding the Fourth Proportional to 17,864.14, 24,652.43 and 9,906.35

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Solution

The fourth proportional to 17,864.14, 24,652.43 and 9,906.35 is: 13,670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864.14 : 24,652.43 = 9,906.35 : x
  2. Step 2: Convert to fraction form
    17,864.14/24,652.43 = 9,906.35/x
  3. Step 3: Cross multiply
    17,864.14x = 24,652.43 × 9,906.35
  4. Step 4: Simplify right side
    17,864.14x = 244,215,476.67
  5. Step 5: Solve for x
    x = 244,215,476.67/17,864.14
  6. Step 6: Final answer
    x = 13,670.71

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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.