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Finding the Fourth Proportional to 20,993.30, 31,498.13 and 7,842.59

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Solution

The fourth proportional to 20,993.30, 31,498.13 and 7,842.59 is: 11,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.30 : 31,498.13 = 7,842.59 : x
  2. Step 2: Convert to fraction form
    20,993.30/31,498.13 = 7,842.59/x
  3. Step 3: Cross multiply
    20,993.30x = 31,498.13 × 7,842.59
  4. Step 4: Simplify right side
    20,993.30x = 247,026,919.36
  5. Step 5: Solve for x
    x = 247,026,919.36/20,993.30
  6. Step 6: Final answer
    x = 11,766.94

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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.