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Finding the Fourth Proportional to 22,761.44, 34,157.64 and 7,970.24

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Solution

The fourth proportional to 22,761.44, 34,157.64 and 7,970.24 is: 11,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,761.44 : 34,157.64 = 7,970.24 : x
  2. Step 2: Convert to fraction form
    22,761.44/34,157.64 = 7,970.24/x
  3. Step 3: Cross multiply
    22,761.44x = 34,157.64 × 7,970.24
  4. Step 4: Simplify right side
    22,761.44x = 272,244,588.63
  5. Step 5: Solve for x
    x = 272,244,588.63/22,761.44
  6. Step 6: Final answer
    x = 11,960.78

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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.