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Finding the Fourth Proportional to 22,514.87, 33,761.70 and 13,157.59

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Solution

The fourth proportional to 22,514.87, 33,761.70 and 13,157.59 is: 19,730.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.87 : 33,761.70 = 13,157.59 : x
  2. Step 2: Convert to fraction form
    22,514.87/33,761.70 = 13,157.59/x
  3. Step 3: Cross multiply
    22,514.87x = 33,761.70 × 13,157.59
  4. Step 4: Simplify right side
    22,514.87x = 444,222,606.30
  5. Step 5: Solve for x
    x = 444,222,606.30/22,514.87
  6. Step 6: Final answer
    x = 19,730.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.