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Finding the Fourth Proportional to 17,830.86, 24,618.54 and 11,119.20

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Solution

The fourth proportional to 17,830.86, 24,618.54 and 11,119.20 is: 15,351.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.86 : 24,618.54 = 11,119.20 : x
  2. Step 2: Convert to fraction form
    17,830.86/24,618.54 = 11,119.20/x
  3. Step 3: Cross multiply
    17,830.86x = 24,618.54 × 11,119.20
  4. Step 4: Simplify right side
    17,830.86x = 273,738,469.97
  5. Step 5: Solve for x
    x = 273,738,469.97/17,830.86
  6. Step 6: Final answer
    x = 15,351.95

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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.