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Finding the Fourth Proportional to 16,219.70, 22,383.18 and 8,767.70

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Solution

The fourth proportional to 16,219.70, 22,383.18 and 8,767.70 is: 12,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.70 : 22,383.18 = 8,767.70 : x
  2. Step 2: Convert to fraction form
    16,219.70/22,383.18 = 8,767.70/x
  3. Step 3: Cross multiply
    16,219.70x = 22,383.18 × 8,767.70
  4. Step 4: Simplify right side
    16,219.70x = 196,248,895.37
  5. Step 5: Solve for x
    x = 196,248,895.37/16,219.70
  6. Step 6: Final answer
    x = 12,099.42

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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.