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Finding the Fourth Proportional to 17,872.74, 24,667.34 and 9,917.53

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Solution

The fourth proportional to 17,872.74, 24,667.34 and 9,917.53 is: 13,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.74 : 24,667.34 = 9,917.53 : x
  2. Step 2: Convert to fraction form
    17,872.74/24,667.34 = 9,917.53/x
  3. Step 3: Cross multiply
    17,872.74x = 24,667.34 × 9,917.53
  4. Step 4: Simplify right side
    17,872.74x = 244,638,973.21
  5. Step 5: Solve for x
    x = 244,638,973.21/17,872.74
  6. Step 6: Final answer
    x = 13,687.83

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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.