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Finding the Fourth Proportional to 23,844.46, 35,766.96 and 7,204.63

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Solution

The fourth proportional to 23,844.46, 35,766.96 and 7,204.63 is: 10,807.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,844.46 : 35,766.96 = 7,204.63 : x
  2. Step 2: Convert to fraction form
    23,844.46/35,766.96 = 7,204.63/x
  3. Step 3: Cross multiply
    23,844.46x = 35,766.96 × 7,204.63
  4. Step 4: Simplify right side
    23,844.46x = 257,687,713.02
  5. Step 5: Solve for x
    x = 257,687,713.02/23,844.46
  6. Step 6: Final answer
    x = 10,807.03

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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.