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Finding the Fourth Proportional to 20,734.40, 31,105.02 and 8,254.50

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Solution

The fourth proportional to 20,734.40, 31,105.02 and 8,254.50 is: 12,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,734.40 : 31,105.02 = 8,254.50 : x
  2. Step 2: Convert to fraction form
    20,734.40/31,105.02 = 8,254.50/x
  3. Step 3: Cross multiply
    20,734.40x = 31,105.02 × 8,254.50
  4. Step 4: Simplify right side
    20,734.40x = 256,756,387.59
  5. Step 5: Solve for x
    x = 256,756,387.59/20,734.40
  6. Step 6: Final answer
    x = 12,383.11

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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.