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Finding the Fourth Proportional to 17,902.64, 26,847.88 and 6,806.66

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Solution

The fourth proportional to 17,902.64, 26,847.88 and 6,806.66 is: 10,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,902.64 : 26,847.88 = 6,806.66 : x
  2. Step 2: Convert to fraction form
    17,902.64/26,847.88 = 6,806.66/x
  3. Step 3: Cross multiply
    17,902.64x = 26,847.88 × 6,806.66
  4. Step 4: Simplify right side
    17,902.64x = 182,744,390.88
  5. Step 5: Solve for x
    x = 182,744,390.88/17,902.64
  6. Step 6: Final answer
    x = 10,207.68

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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.