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Finding the Fourth Proportional to 24,600.71, 33,948.96 and 13,422.71

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Solution

The fourth proportional to 24,600.71, 33,948.96 and 13,422.71 is: 18,523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,600.71 : 33,948.96 = 13,422.71 : x
  2. Step 2: Convert to fraction form
    24,600.71/33,948.96 = 13,422.71/x
  3. Step 3: Cross multiply
    24,600.71x = 33,948.96 × 13,422.71
  4. Step 4: Simplify right side
    24,600.71x = 455,687,044.88
  5. Step 5: Solve for x
    x = 455,687,044.88/24,600.71
  6. Step 6: Final answer
    x = 18,523.33

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1.5x scale

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.