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Finding the Fourth Proportional to 13,876.75, 20,815.13 and 3,488.50

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Solution

The fourth proportional to 13,876.75, 20,815.13 and 3,488.50 is: 5,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.75 : 20,815.13 = 3,488.50 : x
  2. Step 2: Convert to fraction form
    13,876.75/20,815.13 = 3,488.50/x
  3. Step 3: Cross multiply
    13,876.75x = 20,815.13 × 3,488.50
  4. Step 4: Simplify right side
    13,876.75x = 72,613,581.01
  5. Step 5: Solve for x
    x = 72,613,581.01/13,876.75
  6. Step 6: Final answer
    x = 5,232.75

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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.