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Finding the Fourth Proportional to 20,174.70, 30,272.85 and 9,083.10

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Solution

The fourth proportional to 20,174.70, 30,272.85 and 9,083.10 is: 13,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.70 : 30,272.85 = 9,083.10 : x
  2. Step 2: Convert to fraction form
    20,174.70/30,272.85 = 9,083.10/x
  3. Step 3: Cross multiply
    20,174.70x = 30,272.85 × 9,083.10
  4. Step 4: Simplify right side
    20,174.70x = 274,971,323.84
  5. Step 5: Solve for x
    x = 274,971,323.84/20,174.70
  6. Step 6: Final answer
    x = 13,629.51

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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.