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Finding the Fourth Proportional to 13,870.13, 20,805.14 and 3,481.88

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Solution

The fourth proportional to 13,870.13, 20,805.14 and 3,481.88 is: 5,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.13 : 20,805.14 = 3,481.88 : x
  2. Step 2: Convert to fraction form
    13,870.13/20,805.14 = 3,481.88/x
  3. Step 3: Cross multiply
    13,870.13x = 20,805.14 × 3,481.88
  4. Step 4: Simplify right side
    13,870.13x = 72,440,879.43
  5. Step 5: Solve for x
    x = 72,440,879.43/13,870.13
  6. Step 6: Final answer
    x = 5,222.80

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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.