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Finding the Fourth Proportional to 17,789.84, 24,550.04 and 9,723.65

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Solution

The fourth proportional to 17,789.84, 24,550.04 and 9,723.65 is: 13,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,789.84 : 24,550.04 = 9,723.65 : x
  2. Step 2: Convert to fraction form
    17,789.84/24,550.04 = 9,723.65/x
  3. Step 3: Cross multiply
    17,789.84x = 24,550.04 × 9,723.65
  4. Step 4: Simplify right side
    17,789.84x = 238,715,825.08
  5. Step 5: Solve for x
    x = 238,715,825.08/17,789.84
  6. Step 6: Final answer
    x = 13,418.66

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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.