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Finding the Fourth Proportional to 20,959.41, 31,437.68 and 7,805.73

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Solution

The fourth proportional to 20,959.41, 31,437.68 and 7,805.73 is: 11,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,959.41 : 31,437.68 = 7,805.73 : x
  2. Step 2: Convert to fraction form
    20,959.41/31,437.68 = 7,805.73/x
  3. Step 3: Cross multiply
    20,959.41x = 31,437.68 × 7,805.73
  4. Step 4: Simplify right side
    20,959.41x = 245,394,002.88
  5. Step 5: Solve for x
    x = 245,394,002.88/20,959.41
  6. Step 6: Final answer
    x = 11,708.06

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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.