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Finding the Fourth Proportional to 17,496.18, 24,143.40 and 9,538.20

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Solution

The fourth proportional to 17,496.18, 24,143.40 and 9,538.20 is: 13,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,496.18 : 24,143.40 = 9,538.20 : x
  2. Step 2: Convert to fraction form
    17,496.18/24,143.40 = 9,538.20/x
  3. Step 3: Cross multiply
    17,496.18x = 24,143.40 × 9,538.20
  4. Step 4: Simplify right side
    17,496.18x = 230,284,577.88
  5. Step 5: Solve for x
    x = 230,284,577.88/17,496.18
  6. Step 6: Final answer
    x = 13,161.99

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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.