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Finding the Fourth Proportional to 23,827.44, 32,882.03 and 13,217.25

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Solution

The fourth proportional to 23,827.44, 32,882.03 and 13,217.25 is: 18,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.44 : 32,882.03 = 13,217.25 : x
  2. Step 2: Convert to fraction form
    23,827.44/32,882.03 = 13,217.25/x
  3. Step 3: Cross multiply
    23,827.44x = 32,882.03 × 13,217.25
  4. Step 4: Simplify right side
    23,827.44x = 434,609,944.93
  5. Step 5: Solve for x
    x = 434,609,944.93/23,827.44
  6. Step 6: Final answer
    x = 18,239.89

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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.