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Finding the Fourth Proportional to 22,906.88, 31,613.42 and 12,835.14

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Solution

The fourth proportional to 22,906.88, 31,613.42 and 12,835.14 is: 17,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.88 : 31,613.42 = 12,835.14 : x
  2. Step 2: Convert to fraction form
    22,906.88/31,613.42 = 12,835.14/x
  3. Step 3: Cross multiply
    22,906.88x = 31,613.42 × 12,835.14
  4. Step 4: Simplify right side
    22,906.88x = 405,762,671.58
  5. Step 5: Solve for x
    x = 405,762,671.58/22,906.88
  6. Step 6: Final answer
    x = 17,713.57

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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.