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Finding the Fourth Proportional to 22,755.62, 31,402.94 and 13,197.48

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Solution

The fourth proportional to 22,755.62, 31,402.94 and 13,197.48 is: 18,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,755.62 : 31,402.94 = 13,197.48 : x
  2. Step 2: Convert to fraction form
    22,755.62/31,402.94 = 13,197.48/x
  3. Step 3: Cross multiply
    22,755.62x = 31,402.94 × 13,197.48
  4. Step 4: Simplify right side
    22,755.62x = 414,439,606.60
  5. Step 5: Solve for x
    x = 414,439,606.60/22,755.62
  6. Step 6: Final answer
    x = 18,212.63

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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.