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Finding the Fourth Proportional to 20,167.88, 30,224.08 and 10,286.36

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Solution

The fourth proportional to 20,167.88, 30,224.08 and 10,286.36 is: 15,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167.88 : 30,224.08 = 10,286.36 : x
  2. Step 2: Convert to fraction form
    20,167.88/30,224.08 = 10,286.36/x
  3. Step 3: Cross multiply
    20,167.88x = 30,224.08 × 10,286.36
  4. Step 4: Simplify right side
    20,167.88x = 310,895,565.00
  5. Step 5: Solve for x
    x = 310,895,565.00/20,167.88
  6. Step 6: Final answer
    x = 15,415.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.