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Finding the Fourth Proportional to 14,792.88, 20,414.01 and 8,078.49

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Solution

The fourth proportional to 14,792.88, 20,414.01 and 8,078.49 is: 11,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,792.88 : 20,414.01 = 8,078.49 : x
  2. Step 2: Convert to fraction form
    14,792.88/20,414.01 = 8,078.49/x
  3. Step 3: Cross multiply
    14,792.88x = 20,414.01 × 8,078.49
  4. Step 4: Simplify right side
    14,792.88x = 164,914,375.64
  5. Step 5: Solve for x
    x = 164,914,375.64/14,792.88
  6. Step 6: Final answer
    x = 11,148.23

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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.