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Finding the Fourth Proportional to 13,907.68, 20,861.61 and 3,519.46

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Solution

The fourth proportional to 13,907.68, 20,861.61 and 3,519.46 is: 5,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.68 : 20,861.61 = 3,519.46 : x
  2. Step 2: Convert to fraction form
    13,907.68/20,861.61 = 3,519.46/x
  3. Step 3: Cross multiply
    13,907.68x = 20,861.61 × 3,519.46
  4. Step 4: Simplify right side
    13,907.68x = 73,421,601.93
  5. Step 5: Solve for x
    x = 73,421,601.93/13,907.68
  6. Step 6: Final answer
    x = 5,279.21

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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.