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Finding the Fourth Proportional to 13,367.68, 20,038.32 and 6,447.04

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Solution

The fourth proportional to 13,367.68, 20,038.32 and 6,447.04 is: 9,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,367.68 : 20,038.32 = 6,447.04 : x
  2. Step 2: Convert to fraction form
    13,367.68/20,038.32 = 6,447.04/x
  3. Step 3: Cross multiply
    13,367.68x = 20,038.32 × 6,447.04
  4. Step 4: Simplify right side
    13,367.68x = 129,187,850.57
  5. Step 5: Solve for x
    x = 129,187,850.57/13,367.68
  6. Step 6: Final answer
    x = 9,664.19

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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.