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Finding the Fourth Proportional to 20,146.81, 30,209.78 and 9,043.94

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Solution

The fourth proportional to 20,146.81, 30,209.78 and 9,043.94 is: 13,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.81 : 30,209.78 = 9,043.94 : x
  2. Step 2: Convert to fraction form
    20,146.81/30,209.78 = 9,043.94/x
  3. Step 3: Cross multiply
    20,146.81x = 30,209.78 × 9,043.94
  4. Step 4: Simplify right side
    20,146.81x = 273,215,309.29
  5. Step 5: Solve for x
    x = 273,215,309.29/20,146.81
  6. Step 6: Final answer
    x = 13,561.22

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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.