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Finding the Fourth Proportional to 23,724.80, 35,540.40 and 12,046.40

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Solution

The fourth proportional to 23,724.80, 35,540.40 and 12,046.40 is: 18,045.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,724.80 : 35,540.40 = 12,046.40 : x
  2. Step 2: Convert to fraction form
    23,724.80/35,540.40 = 12,046.40/x
  3. Step 3: Cross multiply
    23,724.80x = 35,540.40 × 12,046.40
  4. Step 4: Simplify right side
    23,724.80x = 428,133,874.56
  5. Step 5: Solve for x
    x = 428,133,874.56/23,724.80
  6. Step 6: Final answer
    x = 18,045.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.