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Finding the Fourth Proportional to 22,012.97, 30,344.19 and 13,499.31

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Solution

The fourth proportional to 22,012.97, 30,344.19 and 13,499.31 is: 18,608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,012.97 : 30,344.19 = 13,499.31 : x
  2. Step 2: Convert to fraction form
    22,012.97/30,344.19 = 13,499.31/x
  3. Step 3: Cross multiply
    22,012.97x = 30,344.19 × 13,499.31
  4. Step 4: Simplify right side
    22,012.97x = 409,625,627.51
  5. Step 5: Solve for x
    x = 409,625,627.51/22,012.97
  6. Step 6: Final answer
    x = 18,608.38

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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.