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Finding the Fourth Proportional to 12,144.39, 16,767.01 and 9,911.60

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Solution

The fourth proportional to 12,144.39, 16,767.01 and 9,911.60 is: 13,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.39 : 16,767.01 = 9,911.60 : x
  2. Step 2: Convert to fraction form
    12,144.39/16,767.01 = 9,911.60/x
  3. Step 3: Cross multiply
    12,144.39x = 16,767.01 × 9,911.60
  4. Step 4: Simplify right side
    12,144.39x = 166,187,896.32
  5. Step 5: Solve for x
    x = 166,187,896.32/12,144.39
  6. Step 6: Final answer
    x = 13,684.33

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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.