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Finding the Fourth Proportional to 23,057.82, 31,757.67 and 19,908.54

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Solution

The fourth proportional to 23,057.82, 31,757.67 and 19,908.54 is: 27,420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,057.82 : 31,757.67 = 19,908.54 : x
  2. Step 2: Convert to fraction form
    23,057.82/31,757.67 = 19,908.54/x
  3. Step 3: Cross multiply
    23,057.82x = 31,757.67 × 19,908.54
  4. Step 4: Simplify right side
    23,057.82x = 632,248,843.50
  5. Step 5: Solve for x
    x = 632,248,843.50/23,057.82
  6. Step 6: Final answer
    x = 27,420.15

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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.