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Finding the Fourth Proportional to 13,626.73, 20,441 and 5,306.20

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Solution

The fourth proportional to 13,626.73, 20,441 and 5,306.20 is: 7,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,626.73 : 20,441 = 5,306.20 : x
  2. Step 2: Convert to fraction form
    13,626.73/20,441 = 5,306.20/x
  3. Step 3: Cross multiply
    13,626.73x = 20,441 × 5,306.20
  4. Step 4: Simplify right side
    13,626.73x = 108,464,034.20
  5. Step 5: Solve for x
    x = 108,464,034.20/13,626.73
  6. Step 6: Final answer
    x = 7,959.65

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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.