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Finding the Fourth Proportional to 13,911.68, 20,872.32 and 8,711.36

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Solution

The fourth proportional to 13,911.68, 20,872.32 and 8,711.36 is: 13,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.68 : 20,872.32 = 8,711.36 : x
  2. Step 2: Convert to fraction form
    13,911.68/20,872.32 = 8,711.36/x
  3. Step 3: Cross multiply
    13,911.68x = 20,872.32 × 8,711.36
  4. Step 4: Simplify right side
    13,911.68x = 181,826,293.56
  5. Step 5: Solve for x
    x = 181,826,293.56/13,911.68
  6. Step 6: Final answer
    x = 13,070.05

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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.