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Finding the Fourth Proportional to 13,422.72, 20,131.92 and 4,655.64

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Solution

The fourth proportional to 13,422.72, 20,131.92 and 4,655.64 is: 6,982.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.72 : 20,131.92 = 4,655.64 : x
  2. Step 2: Convert to fraction form
    13,422.72/20,131.92 = 4,655.64/x
  3. Step 3: Cross multiply
    13,422.72x = 20,131.92 × 4,655.64
  4. Step 4: Simplify right side
    13,422.72x = 93,726,972.03
  5. Step 5: Solve for x
    x = 93,726,972.03/13,422.72
  6. Step 6: Final answer
    x = 6,982.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.