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Finding the Fourth Proportional to 24,182.68, 33,393.38 and 15,123.57

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Solution

The fourth proportional to 24,182.68, 33,393.38 and 15,123.57 is: 20,883.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,182.68 : 33,393.38 = 15,123.57 : x
  2. Step 2: Convert to fraction form
    24,182.68/33,393.38 = 15,123.57/x
  3. Step 3: Cross multiply
    24,182.68x = 33,393.38 × 15,123.57
  4. Step 4: Simplify right side
    24,182.68x = 505,027,119.97
  5. Step 5: Solve for x
    x = 505,027,119.97/24,182.68
  6. Step 6: Final answer
    x = 20,883.84

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Why These Related Problems?

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