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Finding the Fourth Proportional to 17,614.67, 24,309.77 and 9,658.44

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Solution

The fourth proportional to 17,614.67, 24,309.77 and 9,658.44 is: 13,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.67 : 24,309.77 = 9,658.44 : x
  2. Step 2: Convert to fraction form
    17,614.67/24,309.77 = 9,658.44/x
  3. Step 3: Cross multiply
    17,614.67x = 24,309.77 × 9,658.44
  4. Step 4: Simplify right side
    17,614.67x = 234,794,461.00
  5. Step 5: Solve for x
    x = 234,794,461.00/17,614.67
  6. Step 6: Final answer
    x = 13,329.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.