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Finding the Fourth Proportional to 13,711.97, 20,555.79 and 6,688.05

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Solution

The fourth proportional to 13,711.97, 20,555.79 and 6,688.05 is: 10,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.97 : 20,555.79 = 6,688.05 : x
  2. Step 2: Convert to fraction form
    13,711.97/20,555.79 = 6,688.05/x
  3. Step 3: Cross multiply
    13,711.97x = 20,555.79 × 6,688.05
  4. Step 4: Simplify right side
    13,711.97x = 137,478,151.31
  5. Step 5: Solve for x
    x = 137,478,151.31/13,711.97
  6. Step 6: Final answer
    x = 10,026.15

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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.