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Finding the Fourth Proportional to 16,283.92, 22,468.44 and 9,212.08

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Solution

The fourth proportional to 16,283.92, 22,468.44 and 9,212.08 is: 12,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.92 : 22,468.44 = 9,212.08 : x
  2. Step 2: Convert to fraction form
    16,283.92/22,468.44 = 9,212.08/x
  3. Step 3: Cross multiply
    16,283.92x = 22,468.44 × 9,212.08
  4. Step 4: Simplify right side
    16,283.92x = 206,981,066.76
  5. Step 5: Solve for x
    x = 206,981,066.76/16,283.92
  6. Step 6: Final answer
    x = 12,710.76

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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.