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Finding the Fourth Proportional to 8,019.78, 12,029.67 and 2,176.24

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Solution

The fourth proportional to 8,019.78, 12,029.67 and 2,176.24 is: 3,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019.78 : 12,029.67 = 2,176.24 : x
  2. Step 2: Convert to fraction form
    8,019.78/12,029.67 = 2,176.24/x
  3. Step 3: Cross multiply
    8,019.78x = 12,029.67 × 2,176.24
  4. Step 4: Simplify right side
    8,019.78x = 26,179,449.04
  5. Step 5: Solve for x
    x = 26,179,449.04/8,019.78
  6. Step 6: Final answer
    x = 3,264.36

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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.