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Finding the Fourth Proportional to 13,816.68, 20,728.47 and 4,456.47

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Solution

The fourth proportional to 13,816.68, 20,728.47 and 4,456.47 is: 6,685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.68 : 20,728.47 = 4,456.47 : x
  2. Step 2: Convert to fraction form
    13,816.68/20,728.47 = 4,456.47/x
  3. Step 3: Cross multiply
    13,816.68x = 20,728.47 × 4,456.47
  4. Step 4: Simplify right side
    13,816.68x = 92,375,763.75
  5. Step 5: Solve for x
    x = 92,375,763.75/13,816.68
  6. Step 6: Final answer
    x = 6,685.82

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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.