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Finding the Fourth Proportional to 16,206, 22,361.82 and 9,132.30

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Solution

The fourth proportional to 16,206, 22,361.82 and 9,132.30 is: 12,601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206 : 22,361.82 = 9,132.30 : x
  2. Step 2: Convert to fraction form
    16,206/22,361.82 = 9,132.30/x
  3. Step 3: Cross multiply
    16,206x = 22,361.82 × 9,132.30
  4. Step 4: Simplify right side
    16,206x = 204,214,848.79
  5. Step 5: Solve for x
    x = 204,214,848.79/16,206
  6. Step 6: Final answer
    x = 12,601.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.