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Finding the Fourth Proportional to 20,131.31, 30,207 and 9,045.92

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Solution

The fourth proportional to 20,131.31, 30,207 and 9,045.92 is: 13,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.31 : 30,207 = 9,045.92 : x
  2. Step 2: Convert to fraction form
    20,131.31/30,207 = 9,045.92/x
  3. Step 3: Cross multiply
    20,131.31x = 30,207 × 9,045.92
  4. Step 4: Simplify right side
    20,131.31x = 273,250,105.44
  5. Step 5: Solve for x
    x = 273,250,105.44/20,131.31
  6. Step 6: Final answer
    x = 13,573.39

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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.