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Finding the Fourth Proportional to 24,211, 33,413 and 14,781.39

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Solution

The fourth proportional to 24,211, 33,413 and 14,781.39 is: 20,399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,211 : 33,413 = 14,781.39 : x
  2. Step 2: Convert to fraction form
    24,211/33,413 = 14,781.39/x
  3. Step 3: Cross multiply
    24,211x = 33,413 × 14,781.39
  4. Step 4: Simplify right side
    24,211x = 493,890,584.07
  5. Step 5: Solve for x
    x = 493,890,584.07/24,211
  6. Step 6: Final answer
    x = 20,399.43

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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.