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Finding the Fourth Proportional to 17,770.17, 26,646.34 and 5,919.78

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Solution

The fourth proportional to 17,770.17, 26,646.34 and 5,919.78 is: 8,876.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.17 : 26,646.34 = 5,919.78 : x
  2. Step 2: Convert to fraction form
    17,770.17/26,646.34 = 5,919.78/x
  3. Step 3: Cross multiply
    17,770.17x = 26,646.34 × 5,919.78
  4. Step 4: Simplify right side
    17,770.17x = 157,740,358.65
  5. Step 5: Solve for x
    x = 157,740,358.65/17,770.17
  6. Step 6: Final answer
    x = 8,876.69

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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.