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Finding the Fourth Proportional to 17,912.74, 26,869.17 and 6,226.06

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Solution

The fourth proportional to 17,912.74, 26,869.17 and 6,226.06 is: 9,339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,912.74 : 26,869.17 = 6,226.06 : x
  2. Step 2: Convert to fraction form
    17,912.74/26,869.17 = 6,226.06/x
  3. Step 3: Cross multiply
    17,912.74x = 26,869.17 × 6,226.06
  4. Step 4: Simplify right side
    17,912.74x = 167,289,064.57
  5. Step 5: Solve for x
    x = 167,289,064.57/17,912.74
  6. Step 6: Final answer
    x = 9,339.11

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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.