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Finding the Fourth Proportional to 23,732.38, 32,749.88 and 13,659.42

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Solution

The fourth proportional to 23,732.38, 32,749.88 and 13,659.42 is: 18,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,732.38 : 32,749.88 = 13,659.42 : x
  2. Step 2: Convert to fraction form
    23,732.38/32,749.88 = 13,659.42/x
  3. Step 3: Cross multiply
    23,732.38x = 32,749.88 × 13,659.42
  4. Step 4: Simplify right side
    23,732.38x = 447,344,365.87
  5. Step 5: Solve for x
    x = 447,344,365.87/23,732.38
  6. Step 6: Final answer
    x = 18,849.54

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Why These Related Problems?

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