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Finding the Fourth Proportional to 22,576.92, 31,151.46 and 14,188.56

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Solution

The fourth proportional to 22,576.92, 31,151.46 and 14,188.56 is: 19,577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.92 : 31,151.46 = 14,188.56 : x
  2. Step 2: Convert to fraction form
    22,576.92/31,151.46 = 14,188.56/x
  3. Step 3: Cross multiply
    22,576.92x = 31,151.46 × 14,188.56
  4. Step 4: Simplify right side
    22,576.92x = 441,994,359.30
  5. Step 5: Solve for x
    x = 441,994,359.30/22,576.92
  6. Step 6: Final answer
    x = 19,577.27

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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.