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Finding the Fourth Proportional to 24,549.52, 33,878 and 13,371.52

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Solution

The fourth proportional to 24,549.52, 33,878 and 13,371.52 is: 18,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549.52 : 33,878 = 13,371.52 : x
  2. Step 2: Convert to fraction form
    24,549.52/33,878 = 13,371.52/x
  3. Step 3: Cross multiply
    24,549.52x = 33,878 × 13,371.52
  4. Step 4: Simplify right side
    24,549.52x = 453,000,354.56
  5. Step 5: Solve for x
    x = 453,000,354.56/24,549.52
  6. Step 6: Final answer
    x = 18,452.51

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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.