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Finding the Fourth Proportional to 17,384.96, 23,992.62 and 9,832.86

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Solution

The fourth proportional to 17,384.96, 23,992.62 and 9,832.86 is: 13,570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,384.96 : 23,992.62 = 9,832.86 : x
  2. Step 2: Convert to fraction form
    17,384.96/23,992.62 = 9,832.86/x
  3. Step 3: Cross multiply
    17,384.96x = 23,992.62 × 9,832.86
  4. Step 4: Simplify right side
    17,384.96x = 235,916,073.49
  5. Step 5: Solve for x
    x = 235,916,073.49/17,384.96
  6. Step 6: Final answer
    x = 13,570.12

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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.