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Finding the Fourth Proportional to 20,829.19, 31,243.91 and 8,517.19

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Solution

The fourth proportional to 20,829.19, 31,243.91 and 8,517.19 is: 12,775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,829.19 : 31,243.91 = 8,517.19 : x
  2. Step 2: Convert to fraction form
    20,829.19/31,243.91 = 8,517.19/x
  3. Step 3: Cross multiply
    20,829.19x = 31,243.91 × 8,517.19
  4. Step 4: Simplify right side
    20,829.19x = 266,110,317.81
  5. Step 5: Solve for x
    x = 266,110,317.81/20,829.19
  6. Step 6: Final answer
    x = 12,775.84

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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.