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Finding the Fourth Proportional to 23,815.56, 35,723.34 and 8,224.68

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Solution

The fourth proportional to 23,815.56, 35,723.34 and 8,224.68 is: 12,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,815.56 : 35,723.34 = 8,224.68 : x
  2. Step 2: Convert to fraction form
    23,815.56/35,723.34 = 8,224.68/x
  3. Step 3: Cross multiply
    23,815.56x = 35,723.34 × 8,224.68
  4. Step 4: Simplify right side
    23,815.56x = 293,813,040.03
  5. Step 5: Solve for x
    x = 293,813,040.03/23,815.56
  6. Step 6: Final answer
    x = 12,337.02

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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.