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Finding the Fourth Proportional to 20,671.16, 31,010.82 and 8,188.84

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Solution

The fourth proportional to 20,671.16, 31,010.82 and 8,188.84 is: 12,284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,671.16 : 31,010.82 = 8,188.84 : x
  2. Step 2: Convert to fraction form
    20,671.16/31,010.82 = 8,188.84/x
  3. Step 3: Cross multiply
    20,671.16x = 31,010.82 × 8,188.84
  4. Step 4: Simplify right side
    20,671.16x = 253,942,643.25
  5. Step 5: Solve for x
    x = 253,942,643.25/20,671.16
  6. Step 6: Final answer
    x = 12,284.88

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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.