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Finding the Fourth Proportional to 17,837.74, 24,615.84 and 9,879.94

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Solution

The fourth proportional to 17,837.74, 24,615.84 and 9,879.94 is: 13,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,837.74 : 24,615.84 = 9,879.94 : x
  2. Step 2: Convert to fraction form
    17,837.74/24,615.84 = 9,879.94/x
  3. Step 3: Cross multiply
    17,837.74x = 24,615.84 × 9,879.94
  4. Step 4: Simplify right side
    17,837.74x = 243,203,022.25
  5. Step 5: Solve for x
    x = 243,203,022.25/17,837.74
  6. Step 6: Final answer
    x = 13,634.18

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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.