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Finding the Fourth Proportional to 17,971.95, 24,788.09 and 11,911.23

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Solution

The fourth proportional to 17,971.95, 24,788.09 and 11,911.23 is: 16,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.95 : 24,788.09 = 11,911.23 : x
  2. Step 2: Convert to fraction form
    17,971.95/24,788.09 = 11,911.23/x
  3. Step 3: Cross multiply
    17,971.95x = 24,788.09 × 11,911.23
  4. Step 4: Simplify right side
    17,971.95x = 295,256,517.31
  5. Step 5: Solve for x
    x = 295,256,517.31/17,971.95
  6. Step 6: Final answer
    x = 16,428.75

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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.