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Finding the Fourth Proportional to 13,836.34, 20,757.18 and 4,478.68

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Solution

The fourth proportional to 13,836.34, 20,757.18 and 4,478.68 is: 6,718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,836.34 : 20,757.18 = 4,478.68 : x
  2. Step 2: Convert to fraction form
    13,836.34/20,757.18 = 4,478.68/x
  3. Step 3: Cross multiply
    13,836.34x = 20,757.18 × 4,478.68
  4. Step 4: Simplify right side
    13,836.34x = 92,964,744.53
  5. Step 5: Solve for x
    x = 92,964,744.53/13,836.34
  6. Step 6: Final answer
    x = 6,718.88

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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.