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Finding the Fourth Proportional to 20,998.38, 31,504.84 and 9,319.80

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Solution

The fourth proportional to 20,998.38, 31,504.84 and 9,319.80 is: 13,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.38 : 31,504.84 = 9,319.80 : x
  2. Step 2: Convert to fraction form
    20,998.38/31,504.84 = 9,319.80/x
  3. Step 3: Cross multiply
    20,998.38x = 31,504.84 × 9,319.80
  4. Step 4: Simplify right side
    20,998.38x = 293,618,807.83
  5. Step 5: Solve for x
    x = 293,618,807.83/20,998.38
  6. Step 6: Final answer
    x = 13,982.93

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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.