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Finding the Fourth Proportional to 23,727.53, 35,580.33 and 7,083.24

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Solution

The fourth proportional to 23,727.53, 35,580.33 and 7,083.24 is: 10,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,727.53 : 35,580.33 = 7,083.24 : x
  2. Step 2: Convert to fraction form
    23,727.53/35,580.33 = 7,083.24/x
  3. Step 3: Cross multiply
    23,727.53x = 35,580.33 × 7,083.24
  4. Step 4: Simplify right side
    23,727.53x = 252,024,016.67
  5. Step 5: Solve for x
    x = 252,024,016.67/23,727.53
  6. Step 6: Final answer
    x = 10,621.59

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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.