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Finding the Fourth Proportional to 22,906.97, 31,610.96 and 13,348.97

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Solution

The fourth proportional to 22,906.97, 31,610.96 and 13,348.97 is: 18,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.97 : 31,610.96 = 13,348.97 : x
  2. Step 2: Convert to fraction form
    22,906.97/31,610.96 = 13,348.97/x
  3. Step 3: Cross multiply
    22,906.97x = 31,610.96 × 13,348.97
  4. Step 4: Simplify right side
    22,906.97x = 421,973,756.71
  5. Step 5: Solve for x
    x = 421,973,756.71/22,906.97
  6. Step 6: Final answer
    x = 18,421.19

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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.