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Finding the Fourth Proportional to 20,717.80, 31,067.70 and 9,620.80

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Solution

The fourth proportional to 20,717.80, 31,067.70 and 9,620.80 is: 14,427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,717.80 : 31,067.70 = 9,620.80 : x
  2. Step 2: Convert to fraction form
    20,717.80/31,067.70 = 9,620.80/x
  3. Step 3: Cross multiply
    20,717.80x = 31,067.70 × 9,620.80
  4. Step 4: Simplify right side
    20,717.80x = 298,896,128.16
  5. Step 5: Solve for x
    x = 298,896,128.16/20,717.80
  6. Step 6: Final answer
    x = 14,427.02

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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.