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Finding the Fourth Proportional to 16,138.02, 22,270.39 and 8,969.11

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Solution

The fourth proportional to 16,138.02, 22,270.39 and 8,969.11 is: 12,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.02 : 22,270.39 = 8,969.11 : x
  2. Step 2: Convert to fraction form
    16,138.02/22,270.39 = 8,969.11/x
  3. Step 3: Cross multiply
    16,138.02x = 22,270.39 × 8,969.11
  4. Step 4: Simplify right side
    16,138.02x = 199,745,577.65
  5. Step 5: Solve for x
    x = 199,745,577.65/16,138.02
  6. Step 6: Final answer
    x = 12,377.33

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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.