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Finding the Fourth Proportional to 16,221, 22,388.24 and 9,147.56

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Solution

The fourth proportional to 16,221, 22,388.24 and 9,147.56 is: 12,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221 : 22,388.24 = 9,147.56 : x
  2. Step 2: Convert to fraction form
    16,221/22,388.24 = 9,147.56/x
  3. Step 3: Cross multiply
    16,221x = 22,388.24 × 9,147.56
  4. Step 4: Simplify right side
    16,221x = 204,797,768.69
  5. Step 5: Solve for x
    x = 204,797,768.69/16,221
  6. Step 6: Final answer
    x = 12,625.47

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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.