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Finding the Fourth Proportional to 22,994.33, 31,719.17 and 14,481.80

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Solution

The fourth proportional to 22,994.33, 31,719.17 and 14,481.80 is: 19,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,994.33 : 31,719.17 = 14,481.80 : x
  2. Step 2: Convert to fraction form
    22,994.33/31,719.17 = 14,481.80/x
  3. Step 3: Cross multiply
    22,994.33x = 31,719.17 × 14,481.80
  4. Step 4: Simplify right side
    22,994.33x = 459,350,672.66
  5. Step 5: Solve for x
    x = 459,350,672.66/22,994.33
  6. Step 6: Final answer
    x = 19,976.70

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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.