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Finding the Fourth Proportional to 24,842.46, 37,255.78 and 8,199.40

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Solution

The fourth proportional to 24,842.46, 37,255.78 and 8,199.40 is: 12,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.46 : 37,255.78 = 8,199.40 : x
  2. Step 2: Convert to fraction form
    24,842.46/37,255.78 = 8,199.40/x
  3. Step 3: Cross multiply
    24,842.46x = 37,255.78 × 8,199.40
  4. Step 4: Simplify right side
    24,842.46x = 305,475,042.53
  5. Step 5: Solve for x
    x = 305,475,042.53/24,842.46
  6. Step 6: Final answer
    x = 12,296.49

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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.