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Finding the Fourth Proportional to 22,614.86, 33,906.45 and 8,575.67

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Solution

The fourth proportional to 22,614.86, 33,906.45 and 8,575.67 is: 12,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.86 : 33,906.45 = 8,575.67 : x
  2. Step 2: Convert to fraction form
    22,614.86/33,906.45 = 8,575.67/x
  3. Step 3: Cross multiply
    22,614.86x = 33,906.45 × 8,575.67
  4. Step 4: Simplify right side
    22,614.86x = 290,770,526.07
  5. Step 5: Solve for x
    x = 290,770,526.07/22,614.86
  6. Step 6: Final answer
    x = 12,857.50

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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.