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Finding the Fourth Proportional to 16,219.92, 22,383.54 and 9,146.34

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Solution

The fourth proportional to 16,219.92, 22,383.54 and 9,146.34 is: 12,621.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.92 : 22,383.54 = 9,146.34 : x
  2. Step 2: Convert to fraction form
    16,219.92/22,383.54 = 9,146.34/x
  3. Step 3: Cross multiply
    16,219.92x = 22,383.54 × 9,146.34
  4. Step 4: Simplify right side
    16,219.92x = 204,727,467.24
  5. Step 5: Solve for x
    x = 204,727,467.24/16,219.92
  6. Step 6: Final answer
    x = 12,621.98

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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.