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Finding the Fourth Proportional to 24,780.50, 37,175.34 and 8,141.48

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Solution

The fourth proportional to 24,780.50, 37,175.34 and 8,141.48 is: 12,213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,780.50 : 37,175.34 = 8,141.48 : x
  2. Step 2: Convert to fraction form
    24,780.50/37,175.34 = 8,141.48/x
  3. Step 3: Cross multiply
    24,780.50x = 37,175.34 × 8,141.48
  4. Step 4: Simplify right side
    24,780.50x = 302,662,287.10
  5. Step 5: Solve for x
    x = 302,662,287.10/24,780.50
  6. Step 6: Final answer
    x = 12,213.73

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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.