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Finding the Fourth Proportional to 17,832.69, 24,609.09 and 9,874.91

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Solution

The fourth proportional to 17,832.69, 24,609.09 and 9,874.91 is: 13,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.69 : 24,609.09 = 9,874.91 : x
  2. Step 2: Convert to fraction form
    17,832.69/24,609.09 = 9,874.91/x
  3. Step 3: Cross multiply
    17,832.69x = 24,609.09 × 9,874.91
  4. Step 4: Simplify right side
    17,832.69x = 243,012,425.89
  5. Step 5: Solve for x
    x = 243,012,425.89/17,832.69
  6. Step 6: Final answer
    x = 13,627.36

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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.