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Finding the Fourth Proportional to 12,099, 18,132.66 and 8,228.28

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Solution

The fourth proportional to 12,099, 18,132.66 and 8,228.28 is: 12,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099 : 18,132.66 = 8,228.28 : x
  2. Step 2: Convert to fraction form
    12,099/18,132.66 = 8,228.28/x
  3. Step 3: Cross multiply
    12,099x = 18,132.66 × 8,228.28
  4. Step 4: Simplify right side
    12,099x = 149,200,603.62
  5. Step 5: Solve for x
    x = 149,200,603.62/12,099
  6. Step 6: Final answer
    x = 12,331.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.