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Finding the Fourth Proportional to 20,146.52, 30,202.50 and 7,827.80

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Solution

The fourth proportional to 20,146.52, 30,202.50 and 7,827.80 is: 11,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.52 : 30,202.50 = 7,827.80 : x
  2. Step 2: Convert to fraction form
    20,146.52/30,202.50 = 7,827.80/x
  3. Step 3: Cross multiply
    20,146.52x = 30,202.50 × 7,827.80
  4. Step 4: Simplify right side
    20,146.52x = 236,419,129.50
  5. Step 5: Solve for x
    x = 236,419,129.50/20,146.52
  6. Step 6: Final answer
    x = 11,734.99

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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.