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Finding the Fourth Proportional to 23,204.60, 34,785.62 and 7,614.20

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Solution

The fourth proportional to 23,204.60, 34,785.62 and 7,614.20 is: 11,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,204.60 : 34,785.62 = 7,614.20 : x
  2. Step 2: Convert to fraction form
    23,204.60/34,785.62 = 7,614.20/x
  3. Step 3: Cross multiply
    23,204.60x = 34,785.62 × 7,614.20
  4. Step 4: Simplify right side
    23,204.60x = 264,864,667.80
  5. Step 5: Solve for x
    x = 264,864,667.80/23,204.60
  6. Step 6: Final answer
    x = 11,414.32

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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.