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Finding the Fourth Proportional to 17,496.72, 24,144.86 and 9,538.79

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Solution

The fourth proportional to 17,496.72, 24,144.86 and 9,538.79 is: 13,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,496.72 : 24,144.86 = 9,538.79 : x
  2. Step 2: Convert to fraction form
    17,496.72/24,144.86 = 9,538.79/x
  3. Step 3: Cross multiply
    17,496.72x = 24,144.86 × 9,538.79
  4. Step 4: Simplify right side
    17,496.72x = 230,312,652.24
  5. Step 5: Solve for x
    x = 230,312,652.24/17,496.72
  6. Step 6: Final answer
    x = 13,163.19

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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.