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Finding the Fourth Proportional to 24,532.65, 36,796.53 and 7,893.21

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Solution

The fourth proportional to 24,532.65, 36,796.53 and 7,893.21 is: 11,839.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532.65 : 36,796.53 = 7,893.21 : x
  2. Step 2: Convert to fraction form
    24,532.65/36,796.53 = 7,893.21/x
  3. Step 3: Cross multiply
    24,532.65x = 36,796.53 × 7,893.21
  4. Step 4: Simplify right side
    24,532.65x = 290,442,738.56
  5. Step 5: Solve for x
    x = 290,442,738.56/24,532.65
  6. Step 6: Final answer
    x = 11,839.03

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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.