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Finding the Fourth Proportional to 22,731.63, 31,370.25 and 12,660.49

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Solution

The fourth proportional to 22,731.63, 31,370.25 and 12,660.49 is: 17,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,731.63 : 31,370.25 = 12,660.49 : x
  2. Step 2: Convert to fraction form
    22,731.63/31,370.25 = 12,660.49/x
  3. Step 3: Cross multiply
    22,731.63x = 31,370.25 × 12,660.49
  4. Step 4: Simplify right side
    22,731.63x = 397,162,736.42
  5. Step 5: Solve for x
    x = 397,162,736.42/22,731.63
  6. Step 6: Final answer
    x = 17,471.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.