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Finding the Fourth Proportional to 12,092.69, 18,122.40 and 9,128.57

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Solution

The fourth proportional to 12,092.69, 18,122.40 and 9,128.57 is: 13,680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.69 : 18,122.40 = 9,128.57 : x
  2. Step 2: Convert to fraction form
    12,092.69/18,122.40 = 9,128.57/x
  3. Step 3: Cross multiply
    12,092.69x = 18,122.40 × 9,128.57
  4. Step 4: Simplify right side
    12,092.69x = 165,431,506.36
  5. Step 5: Solve for x
    x = 165,431,506.36/12,092.69
  6. Step 6: Final answer
    x = 13,680.29

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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.