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Finding the Fourth Proportional to 17,734.70, 26,614.20 and 9,837.20

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Solution

The fourth proportional to 17,734.70, 26,614.20 and 9,837.20 is: 14,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734.70 : 26,614.20 = 9,837.20 : x
  2. Step 2: Convert to fraction form
    17,734.70/26,614.20 = 9,837.20/x
  3. Step 3: Cross multiply
    17,734.70x = 26,614.20 × 9,837.20
  4. Step 4: Simplify right side
    17,734.70x = 261,809,208.24
  5. Step 5: Solve for x
    x = 261,809,208.24/17,734.70
  6. Step 6: Final answer
    x = 14,762.54

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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.