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Finding the Fourth Proportional to 24,494.32, 33,809.35 and 15,997.78

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Solution

The fourth proportional to 24,494.32, 33,809.35 and 15,997.78 is: 22,081.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.32 : 33,809.35 = 15,997.78 : x
  2. Step 2: Convert to fraction form
    24,494.32/33,809.35 = 15,997.78/x
  3. Step 3: Cross multiply
    24,494.32x = 33,809.35 × 15,997.78
  4. Step 4: Simplify right side
    24,494.32x = 540,874,480.42
  5. Step 5: Solve for x
    x = 540,874,480.42/24,494.32
  6. Step 6: Final answer
    x = 22,081.63

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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.