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Finding the Fourth Proportional to 21,744.51, 32,617.07 and 6,162.14

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Solution

The fourth proportional to 21,744.51, 32,617.07 and 6,162.14 is: 9,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,744.51 : 32,617.07 = 6,162.14 : x
  2. Step 2: Convert to fraction form
    21,744.51/32,617.07 = 6,162.14/x
  3. Step 3: Cross multiply
    21,744.51x = 32,617.07 × 6,162.14
  4. Step 4: Simplify right side
    21,744.51x = 200,990,804.05
  5. Step 5: Solve for x
    x = 200,990,804.05/21,744.51
  6. Step 6: Final answer
    x = 9,243.29

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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.