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Finding the Fourth Proportional to 23,740.96, 35,614.32 and 8,162.08

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Solution

The fourth proportional to 23,740.96, 35,614.32 and 8,162.08 is: 12,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,740.96 : 35,614.32 = 8,162.08 : x
  2. Step 2: Convert to fraction form
    23,740.96/35,614.32 = 8,162.08/x
  3. Step 3: Cross multiply
    23,740.96x = 35,614.32 × 8,162.08
  4. Step 4: Simplify right side
    23,740.96x = 290,686,928.99
  5. Step 5: Solve for x
    x = 290,686,928.99/23,740.96
  6. Step 6: Final answer
    x = 12,244.11

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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.