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Finding the Fourth Proportional to 17,661.83, 24,374.49 and 9,704.12

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Solution

The fourth proportional to 17,661.83, 24,374.49 and 9,704.12 is: 13,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661.83 : 24,374.49 = 9,704.12 : x
  2. Step 2: Convert to fraction form
    17,661.83/24,374.49 = 9,704.12/x
  3. Step 3: Cross multiply
    17,661.83x = 24,374.49 × 9,704.12
  4. Step 4: Simplify right side
    17,661.83x = 236,532,975.90
  5. Step 5: Solve for x
    x = 236,532,975.90/17,661.83
  6. Step 6: Final answer
    x = 13,392.33

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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.