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Finding the Fourth Proportional to 23,260.56, 34,892.32 and 7,678.32

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Solution

The fourth proportional to 23,260.56, 34,892.32 and 7,678.32 is: 11,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,260.56 : 34,892.32 = 7,678.32 : x
  2. Step 2: Convert to fraction form
    23,260.56/34,892.32 = 7,678.32/x
  3. Step 3: Cross multiply
    23,260.56x = 34,892.32 × 7,678.32
  4. Step 4: Simplify right side
    23,260.56x = 267,914,398.50
  5. Step 5: Solve for x
    x = 267,914,398.50/23,260.56
  6. Step 6: Final answer
    x = 11,517.97

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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.