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Finding the Fourth Proportional to 20,170.64, 30,255.71 and 9,069.49

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Solution

The fourth proportional to 20,170.64, 30,255.71 and 9,069.49 is: 13,604.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170.64 : 30,255.71 = 9,069.49 : x
  2. Step 2: Convert to fraction form
    20,170.64/30,255.71 = 9,069.49/x
  3. Step 3: Cross multiply
    20,170.64x = 30,255.71 × 9,069.49
  4. Step 4: Simplify right side
    20,170.64x = 274,403,859.29
  5. Step 5: Solve for x
    x = 274,403,859.29/20,170.64
  6. Step 6: Final answer
    x = 13,604.12

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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.