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Finding the Fourth Proportional to 23,454.15, 35,183.07 and 6,814.47

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Solution

The fourth proportional to 23,454.15, 35,183.07 and 6,814.47 is: 10,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454.15 : 35,183.07 = 6,814.47 : x
  2. Step 2: Convert to fraction form
    23,454.15/35,183.07 = 6,814.47/x
  3. Step 3: Cross multiply
    23,454.15x = 35,183.07 × 6,814.47
  4. Step 4: Simplify right side
    23,454.15x = 239,753,975.02
  5. Step 5: Solve for x
    x = 239,753,975.02/23,454.15
  6. Step 6: Final answer
    x = 10,222.24

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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.