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Finding the Fourth Proportional to 17,511.21, 24,164.49 and 9,956.47

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Solution

The fourth proportional to 17,511.21, 24,164.49 and 9,956.47 is: 13,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,511.21 : 24,164.49 = 9,956.47 : x
  2. Step 2: Convert to fraction form
    17,511.21/24,164.49 = 9,956.47/x
  3. Step 3: Cross multiply
    17,511.21x = 24,164.49 × 9,956.47
  4. Step 4: Simplify right side
    17,511.21x = 240,593,019.75
  5. Step 5: Solve for x
    x = 240,593,019.75/17,511.21
  6. Step 6: Final answer
    x = 13,739.37

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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.