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Finding the Fourth Proportional to 24,494.75, 36,736.16 and 11,334.54

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Solution

The fourth proportional to 24,494.75, 36,736.16 and 11,334.54 is: 16,999.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.75 : 36,736.16 = 11,334.54 : x
  2. Step 2: Convert to fraction form
    24,494.75/36,736.16 = 11,334.54/x
  3. Step 3: Cross multiply
    24,494.75x = 36,736.16 × 11,334.54
  4. Step 4: Simplify right side
    24,494.75x = 416,387,418.29
  5. Step 5: Solve for x
    x = 416,387,418.29/24,494.75
  6. Step 6: Final answer
    x = 16,999.05

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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.