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Finding the Fourth Proportional to 24,286.40, 33,512 and 13,676.48

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Solution

The fourth proportional to 24,286.40, 33,512 and 13,676.48 is: 18,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,286.40 : 33,512 = 13,676.48 : x
  2. Step 2: Convert to fraction form
    24,286.40/33,512 = 13,676.48/x
  3. Step 3: Cross multiply
    24,286.40x = 33,512 × 13,676.48
  4. Step 4: Simplify right side
    24,286.40x = 458,326,197.76
  5. Step 5: Solve for x
    x = 458,326,197.76/24,286.40
  6. Step 6: Final answer
    x = 18,871.72

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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.