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Finding the Fourth Proportional to 19,772.28, 27,279 and 14,107.68

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Solution

The fourth proportional to 19,772.28, 27,279 and 14,107.68 is: 19,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.28 : 27,279 = 14,107.68 : x
  2. Step 2: Convert to fraction form
    19,772.28/27,279 = 14,107.68/x
  3. Step 3: Cross multiply
    19,772.28x = 27,279 × 14,107.68
  4. Step 4: Simplify right side
    19,772.28x = 384,843,402.72
  5. Step 5: Solve for x
    x = 384,843,402.72/19,772.28
  6. Step 6: Final answer
    x = 19,463.78

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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.