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Finding the Fourth Proportional to 24,348.16, 33,600.49 and 13,738.78

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Solution

The fourth proportional to 24,348.16, 33,600.49 and 13,738.78 is: 18,959.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,348.16 : 33,600.49 = 13,738.78 : x
  2. Step 2: Convert to fraction form
    24,348.16/33,600.49 = 13,738.78/x
  3. Step 3: Cross multiply
    24,348.16x = 33,600.49 × 13,738.78
  4. Step 4: Simplify right side
    24,348.16x = 461,629,558.65
  5. Step 5: Solve for x
    x = 461,629,558.65/24,348.16
  6. Step 6: Final answer
    x = 18,959.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.