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Finding the Fourth Proportional to 13,744.68, 20,600.08 and 6,338.84

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Solution

The fourth proportional to 13,744.68, 20,600.08 and 6,338.84 is: 9,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.68 : 20,600.08 = 6,338.84 : x
  2. Step 2: Convert to fraction form
    13,744.68/20,600.08 = 6,338.84/x
  3. Step 3: Cross multiply
    13,744.68x = 20,600.08 × 6,338.84
  4. Step 4: Simplify right side
    13,744.68x = 130,580,611.11
  5. Step 5: Solve for x
    x = 130,580,611.11/13,744.68
  6. Step 6: Final answer
    x = 9,500.45

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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.