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Finding the Fourth Proportional to 8,019.80, 12,029.50 and 2,176.26

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Solution

The fourth proportional to 8,019.80, 12,029.50 and 2,176.26 is: 3,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019.80 : 12,029.50 = 2,176.26 : x
  2. Step 2: Convert to fraction form
    8,019.80/12,029.50 = 2,176.26/x
  3. Step 3: Cross multiply
    8,019.80x = 12,029.50 × 2,176.26
  4. Step 4: Simplify right side
    8,019.80x = 26,179,351.07
  5. Step 5: Solve for x
    x = 26,179,351.07/8,019.80
  6. Step 6: Final answer
    x = 3,264.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.