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Finding the Fourth Proportional to 22,382.84, 30,889.08 and 12,311.70

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Solution

The fourth proportional to 22,382.84, 30,889.08 and 12,311.70 is: 16,990.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.84 : 30,889.08 = 12,311.70 : x
  2. Step 2: Convert to fraction form
    22,382.84/30,889.08 = 12,311.70/x
  3. Step 3: Cross multiply
    22,382.84x = 30,889.08 × 12,311.70
  4. Step 4: Simplify right side
    22,382.84x = 380,297,086.24
  5. Step 5: Solve for x
    x = 380,297,086.24/22,382.84
  6. Step 6: Final answer
    x = 16,990.56

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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.