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Finding the Fourth Proportional to 17,919.86, 24,728.32 and 9,961.80

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Solution

The fourth proportional to 17,919.86, 24,728.32 and 9,961.80 is: 13,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,919.86 : 24,728.32 = 9,961.80 : x
  2. Step 2: Convert to fraction form
    17,919.86/24,728.32 = 9,961.80/x
  3. Step 3: Cross multiply
    17,919.86x = 24,728.32 × 9,961.80
  4. Step 4: Simplify right side
    17,919.86x = 246,338,578.18
  5. Step 5: Solve for x
    x = 246,338,578.18/17,919.86
  6. Step 6: Final answer
    x = 13,746.68

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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.