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Finding the Fourth Proportional to 20,222.78, 30,321.02 and 9,692.52

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Solution

The fourth proportional to 20,222.78, 30,321.02 and 9,692.52 is: 14,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,222.78 : 30,321.02 = 9,692.52 : x
  2. Step 2: Convert to fraction form
    20,222.78/30,321.02 = 9,692.52/x
  3. Step 3: Cross multiply
    20,222.78x = 30,321.02 × 9,692.52
  4. Step 4: Simplify right side
    20,222.78x = 293,887,092.77
  5. Step 5: Solve for x
    x = 293,887,092.77/20,222.78
  6. Step 6: Final answer
    x = 14,532.48

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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.