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Finding the Fourth Proportional to 13,454.68, 20,182.03 and 6,433.04

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Solution

The fourth proportional to 13,454.68, 20,182.03 and 6,433.04 is: 9,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.68 : 20,182.03 = 6,433.04 : x
  2. Step 2: Convert to fraction form
    13,454.68/20,182.03 = 6,433.04/x
  3. Step 3: Cross multiply
    13,454.68x = 20,182.03 × 6,433.04
  4. Step 4: Simplify right side
    13,454.68x = 129,831,689.28
  5. Step 5: Solve for x
    x = 129,831,689.28/13,454.68
  6. Step 6: Final answer
    x = 9,649.56

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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.