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Finding the Fourth Proportional to 17,496.54, 24,145.11 and 9,538.74

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Solution

The fourth proportional to 17,496.54, 24,145.11 and 9,538.74 is: 13,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,496.54 : 24,145.11 = 9,538.74 : x
  2. Step 2: Convert to fraction form
    17,496.54/24,145.11 = 9,538.74/x
  3. Step 3: Cross multiply
    17,496.54x = 24,145.11 × 9,538.74
  4. Step 4: Simplify right side
    17,496.54x = 230,313,926.56
  5. Step 5: Solve for x
    x = 230,313,926.56/17,496.54
  6. Step 6: Final answer
    x = 13,163.40

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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.