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Finding the Fourth Proportional to 22,471.88, 33,706.40 and 8,780.04

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Solution

The fourth proportional to 22,471.88, 33,706.40 and 8,780.04 is: 13,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.88 : 33,706.40 = 8,780.04 : x
  2. Step 2: Convert to fraction form
    22,471.88/33,706.40 = 8,780.04/x
  3. Step 3: Cross multiply
    22,471.88x = 33,706.40 × 8,780.04
  4. Step 4: Simplify right side
    22,471.88x = 295,943,496.36
  5. Step 5: Solve for x
    x = 295,943,496.36/22,471.88
  6. Step 6: Final answer
    x = 13,169.51

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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.