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Finding the Fourth Proportional to 17,165.20, 25,747.80 and 11,916.40

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Solution

The fourth proportional to 17,165.20, 25,747.80 and 11,916.40 is: 17,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165.20 : 25,747.80 = 11,916.40 : x
  2. Step 2: Convert to fraction form
    17,165.20/25,747.80 = 11,916.40/x
  3. Step 3: Cross multiply
    17,165.20x = 25,747.80 × 11,916.40
  4. Step 4: Simplify right side
    17,165.20x = 306,821,083.92
  5. Step 5: Solve for x
    x = 306,821,083.92/17,165.20
  6. Step 6: Final answer
    x = 17,874.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.