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Finding the Fourth Proportional to 22,685, 34,042.10 and 8,834

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Solution

The fourth proportional to 22,685, 34,042.10 and 8,834 is: 13,256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,685 : 34,042.10 = 8,834 : x
  2. Step 2: Convert to fraction form
    22,685/34,042.10 = 8,834/x
  3. Step 3: Cross multiply
    22,685x = 34,042.10 × 8,834
  4. Step 4: Simplify right side
    22,685x = 300,727,911.40
  5. Step 5: Solve for x
    x = 300,727,911.40/22,685
  6. Step 6: Final answer
    x = 13,256.69

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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.