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Finding the Fourth Proportional to 20,188.62, 30,284.14 and 8,502.75

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Solution

The fourth proportional to 20,188.62, 30,284.14 and 8,502.75 is: 12,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.62 : 30,284.14 = 8,502.75 : x
  2. Step 2: Convert to fraction form
    20,188.62/30,284.14 = 8,502.75/x
  3. Step 3: Cross multiply
    20,188.62x = 30,284.14 × 8,502.75
  4. Step 4: Simplify right side
    20,188.62x = 257,498,395.67
  5. Step 5: Solve for x
    x = 257,498,395.67/20,188.62
  6. Step 6: Final answer
    x = 12,754.63

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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.