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Finding the Fourth Proportional to 13,488.38, 20,224.62 and 5,169.02

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Solution

The fourth proportional to 13,488.38, 20,224.62 and 5,169.02 is: 7,750.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.38 : 20,224.62 = 5,169.02 : x
  2. Step 2: Convert to fraction form
    13,488.38/20,224.62 = 5,169.02/x
  3. Step 3: Cross multiply
    13,488.38x = 20,224.62 × 5,169.02
  4. Step 4: Simplify right side
    13,488.38x = 104,541,465.27
  5. Step 5: Solve for x
    x = 104,541,465.27/13,488.38
  6. Step 6: Final answer
    x = 7,750.48

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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.