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Finding the Fourth Proportional to 17,695.21, 26,561.25 and 7,841.41

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Solution

The fourth proportional to 17,695.21, 26,561.25 and 7,841.41 is: 11,770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,695.21 : 26,561.25 = 7,841.41 : x
  2. Step 2: Convert to fraction form
    17,695.21/26,561.25 = 7,841.41/x
  3. Step 3: Cross multiply
    17,695.21x = 26,561.25 × 7,841.41
  4. Step 4: Simplify right side
    17,695.21x = 208,277,584.96
  5. Step 5: Solve for x
    x = 208,277,584.96/17,695.21
  6. Step 6: Final answer
    x = 11,770.28

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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.