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Finding the Fourth Proportional to 23,807.22, 35,727.23 and 8,224.84

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Solution

The fourth proportional to 23,807.22, 35,727.23 and 8,224.84 is: 12,342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.22 : 35,727.23 = 8,224.84 : x
  2. Step 2: Convert to fraction form
    23,807.22/35,727.23 = 8,224.84/x
  3. Step 3: Cross multiply
    23,807.22x = 35,727.23 × 8,224.84
  4. Step 4: Simplify right side
    23,807.22x = 293,850,769.35
  5. Step 5: Solve for x
    x = 293,850,769.35/23,807.22
  6. Step 6: Final answer
    x = 12,342.93

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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.