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Finding the Fourth Proportional to 20,828.59, 31,243.48 and 8,177.82

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Solution

The fourth proportional to 20,828.59, 31,243.48 and 8,177.82 is: 12,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,828.59 : 31,243.48 = 8,177.82 : x
  2. Step 2: Convert to fraction form
    20,828.59/31,243.48 = 8,177.82/x
  3. Step 3: Cross multiply
    20,828.59x = 31,243.48 × 8,177.82
  4. Step 4: Simplify right side
    20,828.59x = 255,503,555.61
  5. Step 5: Solve for x
    x = 255,503,555.61/20,828.59
  6. Step 6: Final answer
    x = 12,266.96

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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.