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Finding the Fourth Proportional to 13,449.72, 20,177.82 and 4,215.72

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Solution

The fourth proportional to 13,449.72, 20,177.82 and 4,215.72 is: 6,324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,449.72 : 20,177.82 = 4,215.72 : x
  2. Step 2: Convert to fraction form
    13,449.72/20,177.82 = 4,215.72/x
  3. Step 3: Cross multiply
    13,449.72x = 20,177.82 × 4,215.72
  4. Step 4: Simplify right side
    13,449.72x = 85,064,006.20
  5. Step 5: Solve for x
    x = 85,064,006.20/13,449.72
  6. Step 6: Final answer
    x = 6,324.59

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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.