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Finding the Fourth Proportional to 12,208.68, 18,319.71 and 5,635.56

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Solution

The fourth proportional to 12,208.68, 18,319.71 and 5,635.56 is: 8,456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.68 : 18,319.71 = 5,635.56 : x
  2. Step 2: Convert to fraction form
    12,208.68/18,319.71 = 5,635.56/x
  3. Step 3: Cross multiply
    12,208.68x = 18,319.71 × 5,635.56
  4. Step 4: Simplify right side
    12,208.68x = 103,241,824.89
  5. Step 5: Solve for x
    x = 103,241,824.89/12,208.68
  6. Step 6: Final answer
    x = 8,456.43

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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.