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Finding the Fourth Proportional to 12,438.72, 17,167 and 7,723.72

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Solution

The fourth proportional to 12,438.72, 17,167 and 7,723.72 is: 10,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.72 : 17,167 = 7,723.72 : x
  2. Step 2: Convert to fraction form
    12,438.72/17,167 = 7,723.72/x
  3. Step 3: Cross multiply
    12,438.72x = 17,167 × 7,723.72
  4. Step 4: Simplify right side
    12,438.72x = 132,593,101.24
  5. Step 5: Solve for x
    x = 132,593,101.24/12,438.72
  6. Step 6: Final answer
    x = 10,659.71

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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.