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Finding the Fourth Proportional to 20,146.70, 30,205.65 and 9,044.30

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Solution

The fourth proportional to 20,146.70, 30,205.65 and 9,044.30 is: 13,559.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.70 : 30,205.65 = 9,044.30 : x
  2. Step 2: Convert to fraction form
    20,146.70/30,205.65 = 9,044.30/x
  3. Step 3: Cross multiply
    20,146.70x = 30,205.65 × 9,044.30
  4. Step 4: Simplify right side
    20,146.70x = 273,188,960.30
  5. Step 5: Solve for x
    x = 273,188,960.30/20,146.70
  6. Step 6: Final answer
    x = 13,559.99

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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.