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Finding the Fourth Proportional to 13,375.68, 20,065.76 and 4,141.76

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Solution

The fourth proportional to 13,375.68, 20,065.76 and 4,141.76 is: 6,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375.68 : 20,065.76 = 4,141.76 : x
  2. Step 2: Convert to fraction form
    13,375.68/20,065.76 = 4,141.76/x
  3. Step 3: Cross multiply
    13,375.68x = 20,065.76 × 4,141.76
  4. Step 4: Simplify right side
    13,375.68x = 83,107,562.14
  5. Step 5: Solve for x
    x = 83,107,562.14/13,375.68
  6. Step 6: Final answer
    x = 6,213.33

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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.