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Finding the Fourth Proportional to 13,385.87, 20,097.20 and 6,816.47

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Solution

The fourth proportional to 13,385.87, 20,097.20 and 6,816.47 is: 10,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.87 : 20,097.20 = 6,816.47 : x
  2. Step 2: Convert to fraction form
    13,385.87/20,097.20 = 6,816.47/x
  3. Step 3: Cross multiply
    13,385.87x = 20,097.20 × 6,816.47
  4. Step 4: Simplify right side
    13,385.87x = 136,991,926.80
  5. Step 5: Solve for x
    x = 136,991,926.80/13,385.87
  6. Step 6: Final answer
    x = 10,234.07

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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.