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Finding the Fourth Proportional to 17,511.30, 24,164.64 and 9,956.61

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Solution

The fourth proportional to 17,511.30, 24,164.64 and 9,956.61 is: 13,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,511.30 : 24,164.64 = 9,956.61 : x
  2. Step 2: Convert to fraction form
    17,511.30/24,164.64 = 9,956.61/x
  3. Step 3: Cross multiply
    17,511.30x = 24,164.64 × 9,956.61
  4. Step 4: Simplify right side
    17,511.30x = 240,597,896.27
  5. Step 5: Solve for x
    x = 240,597,896.27/17,511.30
  6. Step 6: Final answer
    x = 13,739.58

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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.