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Finding the Fourth Proportional to 17,663.64, 24,377.04 and 11,684.94

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Solution

The fourth proportional to 17,663.64, 24,377.04 and 11,684.94 is: 16,126.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.64 : 24,377.04 = 11,684.94 : x
  2. Step 2: Convert to fraction form
    17,663.64/24,377.04 = 11,684.94/x
  3. Step 3: Cross multiply
    17,663.64x = 24,377.04 × 11,684.94
  4. Step 4: Simplify right side
    17,663.64x = 284,844,249.78
  5. Step 5: Solve for x
    x = 284,844,249.78/17,663.64
  6. Step 6: Final answer
    x = 16,126.02

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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.