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Finding the Fourth Proportional to 22,315.50, 30,794.19 and 12,243.78

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Solution

The fourth proportional to 22,315.50, 30,794.19 and 12,243.78 is: 16,895.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,315.50 : 30,794.19 = 12,243.78 : x
  2. Step 2: Convert to fraction form
    22,315.50/30,794.19 = 12,243.78/x
  3. Step 3: Cross multiply
    22,315.50x = 30,794.19 × 12,243.78
  4. Step 4: Simplify right side
    22,315.50x = 377,037,287.64
  5. Step 5: Solve for x
    x = 377,037,287.64/22,315.50
  6. Step 6: Final answer
    x = 16,895.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.