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Finding the Fourth Proportional to 22,449.50, 33,687.10 and 11,357.10

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Solution

The fourth proportional to 22,449.50, 33,687.10 and 11,357.10 is: 17,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,449.50 : 33,687.10 = 11,357.10 : x
  2. Step 2: Convert to fraction form
    22,449.50/33,687.10 = 11,357.10/x
  3. Step 3: Cross multiply
    22,449.50x = 33,687.10 × 11,357.10
  4. Step 4: Simplify right side
    22,449.50x = 382,587,763.41
  5. Step 5: Solve for x
    x = 382,587,763.41/22,449.50
  6. Step 6: Final answer
    x = 17,042.15

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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.