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Finding the Fourth Proportional to 13,472.95, 20,211.67 and 6,077.24

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Solution

The fourth proportional to 13,472.95, 20,211.67 and 6,077.24 is: 9,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,472.95 : 20,211.67 = 6,077.24 : x
  2. Step 2: Convert to fraction form
    13,472.95/20,211.67 = 6,077.24/x
  3. Step 3: Cross multiply
    13,472.95x = 20,211.67 × 6,077.24
  4. Step 4: Simplify right side
    13,472.95x = 122,831,227.52
  5. Step 5: Solve for x
    x = 122,831,227.52/13,472.95
  6. Step 6: Final answer
    x = 9,116.88

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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.