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Finding the Fourth Proportional to 20,691.84, 31,033.75 and 8,041.58

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Solution

The fourth proportional to 20,691.84, 31,033.75 and 8,041.58 is: 12,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,691.84 : 31,033.75 = 8,041.58 : x
  2. Step 2: Convert to fraction form
    20,691.84/31,033.75 = 8,041.58/x
  3. Step 3: Cross multiply
    20,691.84x = 31,033.75 × 8,041.58
  4. Step 4: Simplify right side
    20,691.84x = 249,560,383.33
  5. Step 5: Solve for x
    x = 249,560,383.33/20,691.84
  6. Step 6: Final answer
    x = 12,060.81

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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.