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Finding the Fourth Proportional to 17,663.63, 24,382.20 and 11,697.23

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Solution

The fourth proportional to 17,663.63, 24,382.20 and 11,697.23 is: 16,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.63 : 24,382.20 = 11,697.23 : x
  2. Step 2: Convert to fraction form
    17,663.63/24,382.20 = 11,697.23/x
  3. Step 3: Cross multiply
    17,663.63x = 24,382.20 × 11,697.23
  4. Step 4: Simplify right side
    17,663.63x = 285,204,079.40
  5. Step 5: Solve for x
    x = 285,204,079.40/17,663.63
  6. Step 6: Final answer
    x = 16,146.41

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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.