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Finding the Fourth Proportional to 24,274.97, 36,412.94 and 7,634.65

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Solution

The fourth proportional to 24,274.97, 36,412.94 and 7,634.65 is: 11,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.97 : 36,412.94 = 7,634.65 : x
  2. Step 2: Convert to fraction form
    24,274.97/36,412.94 = 7,634.65/x
  3. Step 3: Cross multiply
    24,274.97x = 36,412.94 × 7,634.65
  4. Step 4: Simplify right side
    24,274.97x = 278,000,014.20
  5. Step 5: Solve for x
    x = 278,000,014.20/24,274.97
  6. Step 6: Final answer
    x = 11,452.13

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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.