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Finding the Fourth Proportional to 20,512.95, 30,827.13 and 12,194.45

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Solution

The fourth proportional to 20,512.95, 30,827.13 and 12,194.45 is: 18,325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.95 : 30,827.13 = 12,194.45 : x
  2. Step 2: Convert to fraction form
    20,512.95/30,827.13 = 12,194.45/x
  3. Step 3: Cross multiply
    20,512.95x = 30,827.13 × 12,194.45
  4. Step 4: Simplify right side
    20,512.95x = 375,919,879.76
  5. Step 5: Solve for x
    x = 375,919,879.76/20,512.95
  6. Step 6: Final answer
    x = 18,325.98

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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.