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Finding the Fourth Proportional to 24,200.28, 36,282.42 and 10,164.42

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Solution

The fourth proportional to 24,200.28, 36,282.42 and 10,164.42 is: 15,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,200.28 : 36,282.42 = 10,164.42 : x
  2. Step 2: Convert to fraction form
    24,200.28/36,282.42 = 10,164.42/x
  3. Step 3: Cross multiply
    24,200.28x = 36,282.42 × 10,164.42
  4. Step 4: Simplify right side
    24,200.28x = 368,789,755.50
  5. Step 5: Solve for x
    x = 368,789,755.50/24,200.28
  6. Step 6: Final answer
    x = 15,239.07

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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.