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Finding the Fourth Proportional to 17,540.33, 24,206.01 and 9,583.07

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Solution

The fourth proportional to 17,540.33, 24,206.01 and 9,583.07 is: 13,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540.33 : 24,206.01 = 9,583.07 : x
  2. Step 2: Convert to fraction form
    17,540.33/24,206.01 = 9,583.07/x
  3. Step 3: Cross multiply
    17,540.33x = 24,206.01 × 9,583.07
  4. Step 4: Simplify right side
    17,540.33x = 231,967,767.22
  5. Step 5: Solve for x
    x = 231,967,767.22/17,540.33
  6. Step 6: Final answer
    x = 13,224.83

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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.