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Finding the Fourth Proportional to 13,713.30, 20,572.11 and 5,922.18

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Solution

The fourth proportional to 13,713.30, 20,572.11 and 5,922.18 is: 8,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.30 : 20,572.11 = 5,922.18 : x
  2. Step 2: Convert to fraction form
    13,713.30/20,572.11 = 5,922.18/x
  3. Step 3: Cross multiply
    13,713.30x = 20,572.11 × 5,922.18
  4. Step 4: Simplify right side
    13,713.30x = 121,831,738.40
  5. Step 5: Solve for x
    x = 121,831,738.40/13,713.30
  6. Step 6: Final answer
    x = 8,884.20

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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.