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Finding the Fourth Proportional to 16,013.84, 22,099.50 and 8,940.78

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Solution

The fourth proportional to 16,013.84, 22,099.50 and 8,940.78 is: 12,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013.84 : 22,099.50 = 8,940.78 : x
  2. Step 2: Convert to fraction form
    16,013.84/22,099.50 = 8,940.78/x
  3. Step 3: Cross multiply
    16,013.84x = 22,099.50 × 8,940.78
  4. Step 4: Simplify right side
    16,013.84x = 197,586,767.61
  5. Step 5: Solve for x
    x = 197,586,767.61/16,013.84
  6. Step 6: Final answer
    x = 12,338.50

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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.