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Finding the Fourth Proportional to 24,251.42, 33,466.82 and 13,640.82

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Solution

The fourth proportional to 24,251.42, 33,466.82 and 13,640.82 is: 18,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,251.42 : 33,466.82 = 13,640.82 : x
  2. Step 2: Convert to fraction form
    24,251.42/33,466.82 = 13,640.82/x
  3. Step 3: Cross multiply
    24,251.42x = 33,466.82 × 13,640.82
  4. Step 4: Simplify right side
    24,251.42x = 456,514,867.59
  5. Step 5: Solve for x
    x = 456,514,867.59/24,251.42
  6. Step 6: Final answer
    x = 18,824.25

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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.