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Finding the Fourth Proportional to 16,902.84, 25,337.22 and 8,133

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Solution

The fourth proportional to 16,902.84, 25,337.22 and 8,133 is: 12,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,902.84 : 25,337.22 = 8,133 : x
  2. Step 2: Convert to fraction form
    16,902.84/25,337.22 = 8,133/x
  3. Step 3: Cross multiply
    16,902.84x = 25,337.22 × 8,133
  4. Step 4: Simplify right side
    16,902.84x = 206,067,610.26
  5. Step 5: Solve for x
    x = 206,067,610.26/16,902.84
  6. Step 6: Final answer
    x = 12,191.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.