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Finding the Fourth Proportional to 22,906.35, 31,612.70 and 12,834.63

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Solution

The fourth proportional to 22,906.35, 31,612.70 and 12,834.63 is: 17,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.35 : 31,612.70 = 12,834.63 : x
  2. Step 2: Convert to fraction form
    22,906.35/31,612.70 = 12,834.63/x
  3. Step 3: Cross multiply
    22,906.35x = 31,612.70 × 12,834.63
  4. Step 4: Simplify right side
    22,906.35x = 405,737,243.63
  5. Step 5: Solve for x
    x = 405,737,243.63/22,906.35
  6. Step 6: Final answer
    x = 17,712.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.