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Finding the Fourth Proportional to 22,994.68, 31,733.37 and 13,921.70

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Solution

The fourth proportional to 22,994.68, 31,733.37 and 13,921.70 is: 19,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,994.68 : 31,733.37 = 13,921.70 : x
  2. Step 2: Convert to fraction form
    22,994.68/31,733.37 = 13,921.70/x
  3. Step 3: Cross multiply
    22,994.68x = 31,733.37 × 13,921.70
  4. Step 4: Simplify right side
    22,994.68x = 441,782,503.07
  5. Step 5: Solve for x
    x = 441,782,503.07/22,994.68
  6. Step 6: Final answer
    x = 19,212.38

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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.