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Finding the Fourth Proportional to 24,334.97, 36,502.72 and 7,694.60

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Solution

The fourth proportional to 24,334.97, 36,502.72 and 7,694.60 is: 11,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,334.97 : 36,502.72 = 7,694.60 : x
  2. Step 2: Convert to fraction form
    24,334.97/36,502.72 = 7,694.60/x
  3. Step 3: Cross multiply
    24,334.97x = 36,502.72 × 7,694.60
  4. Step 4: Simplify right side
    24,334.97x = 280,873,627.56
  5. Step 5: Solve for x
    x = 280,873,627.56/24,334.97
  6. Step 6: Final answer
    x = 11,541.98

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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.