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Finding the Fourth Proportional to 22,414.28, 30,918.84 and 14,016.20

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Solution

The fourth proportional to 22,414.28, 30,918.84 and 14,016.20 is: 19,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414.28 : 30,918.84 = 14,016.20 : x
  2. Step 2: Convert to fraction form
    22,414.28/30,918.84 = 14,016.20/x
  3. Step 3: Cross multiply
    22,414.28x = 30,918.84 × 14,016.20
  4. Step 4: Simplify right side
    22,414.28x = 433,364,645.21
  5. Step 5: Solve for x
    x = 433,364,645.21/22,414.28
  6. Step 6: Final answer
    x = 19,334.31

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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.