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Finding the Fourth Proportional to 20,938.50, 31,422.15 and 8,626.50

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Solution

The fourth proportional to 20,938.50, 31,422.15 and 8,626.50 is: 12,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,938.50 : 31,422.15 = 8,626.50 : x
  2. Step 2: Convert to fraction form
    20,938.50/31,422.15 = 8,626.50/x
  3. Step 3: Cross multiply
    20,938.50x = 31,422.15 × 8,626.50
  4. Step 4: Simplify right side
    20,938.50x = 271,063,176.98
  5. Step 5: Solve for x
    x = 271,063,176.98/20,938.50
  6. Step 6: Final answer
    x = 12,945.68

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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.