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Finding the Fourth Proportional to 13,165.80, 19,744.65 and 3,806.70

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Solution

The fourth proportional to 13,165.80, 19,744.65 and 3,806.70 is: 5,708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.80 : 19,744.65 = 3,806.70 : x
  2. Step 2: Convert to fraction form
    13,165.80/19,744.65 = 3,806.70/x
  3. Step 3: Cross multiply
    13,165.80x = 19,744.65 × 3,806.70
  4. Step 4: Simplify right side
    13,165.80x = 75,161,959.16
  5. Step 5: Solve for x
    x = 75,161,959.16/13,165.80
  6. Step 6: Final answer
    x = 5,708.88

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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.