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Finding the Fourth Proportional to 22,991.22, 31,731.31 and 14,043.87

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Solution

The fourth proportional to 22,991.22, 31,731.31 and 14,043.87 is: 19,382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,991.22 : 31,731.31 = 14,043.87 : x
  2. Step 2: Convert to fraction form
    22,991.22/31,731.31 = 14,043.87/x
  3. Step 3: Cross multiply
    22,991.22x = 31,731.31 × 14,043.87
  4. Step 4: Simplify right side
    22,991.22x = 445,630,392.57
  5. Step 5: Solve for x
    x = 445,630,392.57/22,991.22
  6. Step 6: Final answer
    x = 19,382.63

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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.