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Finding the Fourth Proportional to 20,578.88, 30,728.64 and 16,371.84

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Solution

The fourth proportional to 20,578.88, 30,728.64 and 16,371.84 is: 24,446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.88 : 30,728.64 = 16,371.84 : x
  2. Step 2: Convert to fraction form
    20,578.88/30,728.64 = 16,371.84/x
  3. Step 3: Cross multiply
    20,578.88x = 30,728.64 × 16,371.84
  4. Step 4: Simplify right side
    20,578.88x = 503,084,377.50
  5. Step 5: Solve for x
    x = 503,084,377.50/20,578.88
  6. Step 6: Final answer
    x = 24,446.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.