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Finding the Fourth Proportional to 22,906.84, 31,611.04 and 12,835.24

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Solution

The fourth proportional to 22,906.84, 31,611.04 and 12,835.24 is: 17,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.84 : 31,611.04 = 12,835.24 : x
  2. Step 2: Convert to fraction form
    22,906.84/31,611.04 = 12,835.24/x
  3. Step 3: Cross multiply
    22,906.84x = 31,611.04 × 12,835.24
  4. Step 4: Simplify right side
    22,906.84x = 405,735,285.05
  5. Step 5: Solve for x
    x = 405,735,285.05/22,906.84
  6. Step 6: Final answer
    x = 17,712.41

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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.