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Finding the Fourth Proportional to 17,790, 24,550.29 and 9,723.83

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Solution

The fourth proportional to 17,790, 24,550.29 and 9,723.83 is: 13,418.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,790 : 24,550.29 = 9,723.83 : x
  2. Step 2: Convert to fraction form
    17,790/24,550.29 = 9,723.83/x
  3. Step 3: Cross multiply
    17,790x = 24,550.29 × 9,723.83
  4. Step 4: Simplify right side
    17,790x = 238,722,723.66
  5. Step 5: Solve for x
    x = 238,722,723.66/17,790
  6. Step 6: Final answer
    x = 13,418.93

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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.