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Finding the Fourth Proportional to 20,671.09, 30,988.09 and 8,182.71

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Solution

The fourth proportional to 20,671.09, 30,988.09 and 8,182.71 is: 12,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,671.09 : 30,988.09 = 8,182.71 : x
  2. Step 2: Convert to fraction form
    20,671.09/30,988.09 = 8,182.71/x
  3. Step 3: Cross multiply
    20,671.09x = 30,988.09 × 8,182.71
  4. Step 4: Simplify right side
    20,671.09x = 253,566,553.92
  5. Step 5: Solve for x
    x = 253,566,553.92/20,671.09
  6. Step 6: Final answer
    x = 12,266.72

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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.