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Finding the Fourth Proportional to 24,367.82, 36,553.02 and 6,839.01

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Solution

The fourth proportional to 24,367.82, 36,553.02 and 6,839.01 is: 10,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,367.82 : 36,553.02 = 6,839.01 : x
  2. Step 2: Convert to fraction form
    24,367.82/36,553.02 = 6,839.01/x
  3. Step 3: Cross multiply
    24,367.82x = 36,553.02 × 6,839.01
  4. Step 4: Simplify right side
    24,367.82x = 249,986,469.31
  5. Step 5: Solve for x
    x = 249,986,469.31/24,367.82
  6. Step 6: Final answer
    x = 10,258.88

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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.