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Finding the Fourth Proportional to 20,192.09, 30,266.87 and 9,655.61

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Solution

The fourth proportional to 20,192.09, 30,266.87 and 9,655.61 is: 14,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,192.09 : 30,266.87 = 9,655.61 : x
  2. Step 2: Convert to fraction form
    20,192.09/30,266.87 = 9,655.61/x
  3. Step 3: Cross multiply
    20,192.09x = 30,266.87 × 9,655.61
  4. Step 4: Simplify right side
    20,192.09x = 292,244,893.03
  5. Step 5: Solve for x
    x = 292,244,893.03/20,192.09
  6. Step 6: Final answer
    x = 14,473.24

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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.