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Finding the Fourth Proportional to 22,848.43, 34,273.68 and 8,057.50

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Solution

The fourth proportional to 22,848.43, 34,273.68 and 8,057.50 is: 12,086.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,848.43 : 34,273.68 = 8,057.50 : x
  2. Step 2: Convert to fraction form
    22,848.43/34,273.68 = 8,057.50/x
  3. Step 3: Cross multiply
    22,848.43x = 34,273.68 × 8,057.50
  4. Step 4: Simplify right side
    22,848.43x = 276,160,176.60
  5. Step 5: Solve for x
    x = 276,160,176.60/22,848.43
  6. Step 6: Final answer
    x = 12,086.61

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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.