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Finding the Fourth Proportional to 19,882.80, 29,843.40 and 10,033.20

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Solution

The fourth proportional to 19,882.80, 29,843.40 and 10,033.20 is: 15,059.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.80 : 29,843.40 = 10,033.20 : x
  2. Step 2: Convert to fraction form
    19,882.80/29,843.40 = 10,033.20/x
  3. Step 3: Cross multiply
    19,882.80x = 29,843.40 × 10,033.20
  4. Step 4: Simplify right side
    19,882.80x = 299,424,800.88
  5. Step 5: Solve for x
    x = 299,424,800.88/19,882.80
  6. Step 6: Final answer
    x = 15,059.49

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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.