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Finding the Fourth Proportional to 17,496.09, 24,143.87 and 9,538.13

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Solution

The fourth proportional to 17,496.09, 24,143.87 and 9,538.13 is: 13,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,496.09 : 24,143.87 = 9,538.13 : x
  2. Step 2: Convert to fraction form
    17,496.09/24,143.87 = 9,538.13/x
  3. Step 3: Cross multiply
    17,496.09x = 24,143.87 × 9,538.13
  4. Step 4: Simplify right side
    17,496.09x = 230,287,202.35
  5. Step 5: Solve for x
    x = 230,287,202.35/17,496.09
  6. Step 6: Final answer
    x = 13,162.21

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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.