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Finding the Fourth Proportional to 12,221.67, 18,330.15 and 5,200.35

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Solution

The fourth proportional to 12,221.67, 18,330.15 and 5,200.35 is: 7,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.67 : 18,330.15 = 5,200.35 : x
  2. Step 2: Convert to fraction form
    12,221.67/18,330.15 = 5,200.35/x
  3. Step 3: Cross multiply
    12,221.67x = 18,330.15 × 5,200.35
  4. Step 4: Simplify right side
    12,221.67x = 95,323,195.55
  5. Step 5: Solve for x
    x = 95,323,195.55/12,221.67
  6. Step 6: Final answer
    x = 7,799.52

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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.