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Finding the Fourth Proportional to 12,220.67, 18,330.40 and 6,684.83

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Solution

The fourth proportional to 12,220.67, 18,330.40 and 6,684.83 is: 10,026.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.67 : 18,330.40 = 6,684.83 : x
  2. Step 2: Convert to fraction form
    12,220.67/18,330.40 = 6,684.83/x
  3. Step 3: Cross multiply
    12,220.67x = 18,330.40 × 6,684.83
  4. Step 4: Simplify right side
    12,220.67x = 122,535,593.28
  5. Step 5: Solve for x
    x = 122,535,593.28/12,220.67
  6. Step 6: Final answer
    x = 10,026.91

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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.