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Finding the Fourth Proportional to 21,578.28, 29,778 and 12,149.88

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Solution

The fourth proportional to 21,578.28, 29,778 and 12,149.88 is: 16,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.28 : 29,778 = 12,149.88 : x
  2. Step 2: Convert to fraction form
    21,578.28/29,778 = 12,149.88/x
  3. Step 3: Cross multiply
    21,578.28x = 29,778 × 12,149.88
  4. Step 4: Simplify right side
    21,578.28x = 361,799,126.64
  5. Step 5: Solve for x
    x = 361,799,126.64/21,578.28
  6. Step 6: Final answer
    x = 16,766.82

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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.