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Finding the Fourth Proportional to 20,768.43, 31,153.14 and 7,442.34

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Solution

The fourth proportional to 20,768.43, 31,153.14 and 7,442.34 is: 11,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768.43 : 31,153.14 = 7,442.34 : x
  2. Step 2: Convert to fraction form
    20,768.43/31,153.14 = 7,442.34/x
  3. Step 3: Cross multiply
    20,768.43x = 31,153.14 × 7,442.34
  4. Step 4: Simplify right side
    20,768.43x = 231,852,259.95
  5. Step 5: Solve for x
    x = 231,852,259.95/20,768.43
  6. Step 6: Final answer
    x = 11,163.69

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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.