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Finding the Fourth Proportional to 17,650.71, 24,341.73 and 11,993.94

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Solution

The fourth proportional to 17,650.71, 24,341.73 and 11,993.94 is: 16,540.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,650.71 : 24,341.73 = 11,993.94 : x
  2. Step 2: Convert to fraction form
    17,650.71/24,341.73 = 11,993.94/x
  3. Step 3: Cross multiply
    17,650.71x = 24,341.73 × 11,993.94
  4. Step 4: Simplify right side
    17,650.71x = 291,953,249.12
  5. Step 5: Solve for x
    x = 291,953,249.12/17,650.71
  6. Step 6: Final answer
    x = 16,540.60

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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.