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Finding the Fourth Proportional to 22,514.63, 33,761.33 and 13,157.34

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Solution

The fourth proportional to 22,514.63, 33,761.33 and 13,157.34 is: 19,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.63 : 33,761.33 = 13,157.34 : x
  2. Step 2: Convert to fraction form
    22,514.63/33,761.33 = 13,157.34/x
  3. Step 3: Cross multiply
    22,514.63x = 33,761.33 × 13,157.34
  4. Step 4: Simplify right side
    22,514.63x = 444,209,154.61
  5. Step 5: Solve for x
    x = 444,209,154.61/22,514.63
  6. Step 6: Final answer
    x = 19,729.80

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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.