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Finding the Fourth Proportional to 17,791.21, 24,550.98 and 9,833.23

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Solution

The fourth proportional to 17,791.21, 24,550.98 and 9,833.23 is: 13,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,791.21 : 24,550.98 = 9,833.23 : x
  2. Step 2: Convert to fraction form
    17,791.21/24,550.98 = 9,833.23/x
  3. Step 3: Cross multiply
    17,791.21x = 24,550.98 × 9,833.23
  4. Step 4: Simplify right side
    17,791.21x = 241,415,310.31
  5. Step 5: Solve for x
    x = 241,415,310.31/17,791.21
  6. Step 6: Final answer
    x = 13,569.36

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1.5x scale

Why These Related Problems?

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