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Finding the Fourth Proportional to 17,441.81, 24,078.59 and 11,806.33

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Solution

The fourth proportional to 17,441.81, 24,078.59 and 11,806.33 is: 16,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,441.81 : 24,078.59 = 11,806.33 : x
  2. Step 2: Convert to fraction form
    17,441.81/24,078.59 = 11,806.33/x
  3. Step 3: Cross multiply
    17,441.81x = 24,078.59 × 11,806.33
  4. Step 4: Simplify right side
    17,441.81x = 284,279,779.47
  5. Step 5: Solve for x
    x = 284,279,779.47/17,441.81
  6. Step 6: Final answer
    x = 16,298.75

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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.