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Finding the Fourth Proportional to 12,311.37, 17,003.84 and 8,969.13

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Solution

The fourth proportional to 12,311.37, 17,003.84 and 8,969.13 is: 12,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.37 : 17,003.84 = 8,969.13 : x
  2. Step 2: Convert to fraction form
    12,311.37/17,003.84 = 8,969.13/x
  3. Step 3: Cross multiply
    12,311.37x = 17,003.84 × 8,969.13
  4. Step 4: Simplify right side
    12,311.37x = 152,509,651.46
  5. Step 5: Solve for x
    x = 152,509,651.46/12,311.37
  6. Step 6: Final answer
    x = 12,387.71

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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.