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Finding the Fourth Proportional to 17,745.21, 26,617.82 and 8,982.63

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Solution

The fourth proportional to 17,745.21, 26,617.82 and 8,982.63 is: 13,473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.21 : 26,617.82 = 8,982.63 : x
  2. Step 2: Convert to fraction form
    17,745.21/26,617.82 = 8,982.63/x
  3. Step 3: Cross multiply
    17,745.21x = 26,617.82 × 8,982.63
  4. Step 4: Simplify right side
    17,745.21x = 239,097,983.55
  5. Step 5: Solve for x
    x = 239,097,983.55/17,745.21
  6. Step 6: Final answer
    x = 13,473.95

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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.