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Finding the Fourth Proportional to 22,796.70, 34,190.73 and 8,002.14

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Solution

The fourth proportional to 22,796.70, 34,190.73 and 8,002.14 is: 12,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796.70 : 34,190.73 = 8,002.14 : x
  2. Step 2: Convert to fraction form
    22,796.70/34,190.73 = 8,002.14/x
  3. Step 3: Cross multiply
    22,796.70x = 34,190.73 × 8,002.14
  4. Step 4: Simplify right side
    22,796.70x = 273,599,008.16
  5. Step 5: Solve for x
    x = 273,599,008.16/22,796.70
  6. Step 6: Final answer
    x = 12,001.69

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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.