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Finding the Fourth Proportional to 17,914.65, 26,872.20 and 5,434.80

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Solution

The fourth proportional to 17,914.65, 26,872.20 and 5,434.80 is: 8,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,914.65 : 26,872.20 = 5,434.80 : x
  2. Step 2: Convert to fraction form
    17,914.65/26,872.20 = 5,434.80/x
  3. Step 3: Cross multiply
    17,914.65x = 26,872.20 × 5,434.80
  4. Step 4: Simplify right side
    17,914.65x = 146,045,032.56
  5. Step 5: Solve for x
    x = 146,045,032.56/17,914.65
  6. Step 6: Final answer
    x = 8,152.27

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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.