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Finding the Fourth Proportional to 16,219.94, 22,383.47 and 9,146.31

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Solution

The fourth proportional to 16,219.94, 22,383.47 and 9,146.31 is: 12,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.94 : 22,383.47 = 9,146.31 : x
  2. Step 2: Convert to fraction form
    16,219.94/22,383.47 = 9,146.31/x
  3. Step 3: Cross multiply
    16,219.94x = 22,383.47 × 9,146.31
  4. Step 4: Simplify right side
    16,219.94x = 204,726,094.42
  5. Step 5: Solve for x
    x = 204,726,094.42/16,219.94
  6. Step 6: Final answer
    x = 12,621.88

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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.