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Finding the Fourth Proportional to 12,102.69, 18,151.89 and 3,338.28

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Solution

The fourth proportional to 12,102.69, 18,151.89 and 3,338.28 is: 5,006.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.69 : 18,151.89 = 3,338.28 : x
  2. Step 2: Convert to fraction form
    12,102.69/18,151.89 = 3,338.28/x
  3. Step 3: Cross multiply
    12,102.69x = 18,151.89 × 3,338.28
  4. Step 4: Simplify right side
    12,102.69x = 60,596,091.35
  5. Step 5: Solve for x
    x = 60,596,091.35/12,102.69
  6. Step 6: Final answer
    x = 5,006.83

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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.