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Finding the Fourth Proportional to 13,464.68, 20,199.92 and 4,105.47

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Solution

The fourth proportional to 13,464.68, 20,199.92 and 4,105.47 is: 6,159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.68 : 20,199.92 = 4,105.47 : x
  2. Step 2: Convert to fraction form
    13,464.68/20,199.92 = 4,105.47/x
  3. Step 3: Cross multiply
    13,464.68x = 20,199.92 × 4,105.47
  4. Step 4: Simplify right side
    13,464.68x = 82,930,145.04
  5. Step 5: Solve for x
    x = 82,930,145.04/13,464.68
  6. Step 6: Final answer
    x = 6,159.09

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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.