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Finding the Fourth Proportional to 16,219.50, 22,382.94 and 8,767.50

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Solution

The fourth proportional to 16,219.50, 22,382.94 and 8,767.50 is: 12,099.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.50 : 22,382.94 = 8,767.50 : x
  2. Step 2: Convert to fraction form
    16,219.50/22,382.94 = 8,767.50/x
  3. Step 3: Cross multiply
    16,219.50x = 22,382.94 × 8,767.50
  4. Step 4: Simplify right side
    16,219.50x = 196,242,426.45
  5. Step 5: Solve for x
    x = 196,242,426.45/16,219.50
  6. Step 6: Final answer
    x = 12,099.17

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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.