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Finding the Fourth Proportional to 13,519.25, 20,278.88 and 3,659.30

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Solution

The fourth proportional to 13,519.25, 20,278.88 and 3,659.30 is: 5,488.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519.25 : 20,278.88 = 3,659.30 : x
  2. Step 2: Convert to fraction form
    13,519.25/20,278.88 = 3,659.30/x
  3. Step 3: Cross multiply
    13,519.25x = 20,278.88 × 3,659.30
  4. Step 4: Simplify right side
    13,519.25x = 74,206,565.43
  5. Step 5: Solve for x
    x = 74,206,565.43/13,519.25
  6. Step 6: Final answer
    x = 5,488.96

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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.