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Finding the Fourth Proportional to 17,723.20, 26,562.24 and 7,859.68

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Solution

The fourth proportional to 17,723.20, 26,562.24 and 7,859.68 is: 11,779.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.20 : 26,562.24 = 7,859.68 : x
  2. Step 2: Convert to fraction form
    17,723.20/26,562.24 = 7,859.68/x
  3. Step 3: Cross multiply
    17,723.20x = 26,562.24 × 7,859.68
  4. Step 4: Simplify right side
    17,723.20x = 208,770,706.48
  5. Step 5: Solve for x
    x = 208,770,706.48/17,723.20
  6. Step 6: Final answer
    x = 11,779.52

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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.