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Finding the Fourth Proportional to 12,026.24, 18,040.08 and 6,822.08

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Solution

The fourth proportional to 12,026.24, 18,040.08 and 6,822.08 is: 10,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.24 : 18,040.08 = 6,822.08 : x
  2. Step 2: Convert to fraction form
    12,026.24/18,040.08 = 6,822.08/x
  3. Step 3: Cross multiply
    12,026.24x = 18,040.08 × 6,822.08
  4. Step 4: Simplify right side
    12,026.24x = 123,070,868.97
  5. Step 5: Solve for x
    x = 123,070,868.97/12,026.24
  6. Step 6: Final answer
    x = 10,233.53

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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.