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Finding the Fourth Proportional to 12,092.78, 18,139.98 and 4,299.50

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Solution

The fourth proportional to 12,092.78, 18,139.98 and 4,299.50 is: 6,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.78 : 18,139.98 = 4,299.50 : x
  2. Step 2: Convert to fraction form
    12,092.78/18,139.98 = 4,299.50/x
  3. Step 3: Cross multiply
    12,092.78x = 18,139.98 × 4,299.50
  4. Step 4: Simplify right side
    12,092.78x = 77,992,844.01
  5. Step 5: Solve for x
    x = 77,992,844.01/12,092.78
  6. Step 6: Final answer
    x = 6,449.54

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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.