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Finding the Fourth Proportional to 20,135.85, 30,196.93 and 7,652.87

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Solution

The fourth proportional to 20,135.85, 30,196.93 and 7,652.87 is: 11,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135.85 : 30,196.93 = 7,652.87 : x
  2. Step 2: Convert to fraction form
    20,135.85/30,196.93 = 7,652.87/x
  3. Step 3: Cross multiply
    20,135.85x = 30,196.93 × 7,652.87
  4. Step 4: Simplify right side
    20,135.85x = 231,093,179.69
  5. Step 5: Solve for x
    x = 231,093,179.69/20,135.85
  6. Step 6: Final answer
    x = 11,476.70

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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.