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Finding the Fourth Proportional to 20,237.52, 30,359.94 and 9,149.43

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Solution

The fourth proportional to 20,237.52, 30,359.94 and 9,149.43 is: 13,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,237.52 : 30,359.94 = 9,149.43 : x
  2. Step 2: Convert to fraction form
    20,237.52/30,359.94 = 9,149.43/x
  3. Step 3: Cross multiply
    20,237.52x = 30,359.94 × 9,149.43
  4. Step 4: Simplify right side
    20,237.52x = 277,776,100.09
  5. Step 5: Solve for x
    x = 277,776,100.09/20,237.52
  6. Step 6: Final answer
    x = 13,725.80

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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.