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Finding the Fourth Proportional to 20,871.35, 31,308.80 and 11,517.82

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Solution

The fourth proportional to 20,871.35, 31,308.80 and 11,517.82 is: 17,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.35 : 31,308.80 = 11,517.82 : x
  2. Step 2: Convert to fraction form
    20,871.35/31,308.80 = 11,517.82/x
  3. Step 3: Cross multiply
    20,871.35x = 31,308.80 × 11,517.82
  4. Step 4: Simplify right side
    20,871.35x = 360,609,172.19
  5. Step 5: Solve for x
    x = 360,609,172.19/20,871.35
  6. Step 6: Final answer
    x = 17,277.72

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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.