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Finding the Fourth Proportional to 12,311.37, 16,990.43 and 9,322.47

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Solution

The fourth proportional to 12,311.37, 16,990.43 and 9,322.47 is: 12,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.37 : 16,990.43 = 9,322.47 : x
  2. Step 2: Convert to fraction form
    12,311.37/16,990.43 = 9,322.47/x
  3. Step 3: Cross multiply
    12,311.37x = 16,990.43 × 9,322.47
  4. Step 4: Simplify right side
    12,311.37x = 158,392,727.35
  5. Step 5: Solve for x
    x = 158,392,727.35/12,311.37
  6. Step 6: Final answer
    x = 12,865.56

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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.