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Finding the Fourth Proportional to 20,813.22, 31,143.02 and 12,498.30

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Solution

The fourth proportional to 20,813.22, 31,143.02 and 12,498.30 is: 18,701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,813.22 : 31,143.02 = 12,498.30 : x
  2. Step 2: Convert to fraction form
    20,813.22/31,143.02 = 12,498.30/x
  3. Step 3: Cross multiply
    20,813.22x = 31,143.02 × 12,498.30
  4. Step 4: Simplify right side
    20,813.22x = 389,234,806.87
  5. Step 5: Solve for x
    x = 389,234,806.87/20,813.22
  6. Step 6: Final answer
    x = 18,701.33

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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.