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Finding the Fourth Proportional to 17,608.27, 26,411.11 and 6,509.78

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Solution

The fourth proportional to 17,608.27, 26,411.11 and 6,509.78 is: 9,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,608.27 : 26,411.11 = 6,509.78 : x
  2. Step 2: Convert to fraction form
    17,608.27/26,411.11 = 6,509.78/x
  3. Step 3: Cross multiply
    17,608.27x = 26,411.11 × 6,509.78
  4. Step 4: Simplify right side
    17,608.27x = 171,930,515.66
  5. Step 5: Solve for x
    x = 171,930,515.66/17,608.27
  6. Step 6: Final answer
    x = 9,764.19

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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.