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Finding the Fourth Proportional to 20,822.50, 31,233.78 and 8,510.50

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Solution

The fourth proportional to 20,822.50, 31,233.78 and 8,510.50 is: 12,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822.50 : 31,233.78 = 8,510.50 : x
  2. Step 2: Convert to fraction form
    20,822.50/31,233.78 = 8,510.50/x
  3. Step 3: Cross multiply
    20,822.50x = 31,233.78 × 8,510.50
  4. Step 4: Simplify right side
    20,822.50x = 265,815,084.69
  5. Step 5: Solve for x
    x = 265,815,084.69/20,822.50
  6. Step 6: Final answer
    x = 12,765.76

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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.