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Finding the Fourth Proportional to 20,562.30, 30,843.45 and 10,194.30

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Solution

The fourth proportional to 20,562.30, 30,843.45 and 10,194.30 is: 15,291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,562.30 : 30,843.45 = 10,194.30 : x
  2. Step 2: Convert to fraction form
    20,562.30/30,843.45 = 10,194.30/x
  3. Step 3: Cross multiply
    20,562.30x = 30,843.45 × 10,194.30
  4. Step 4: Simplify right side
    20,562.30x = 314,427,382.34
  5. Step 5: Solve for x
    x = 314,427,382.34/20,562.30
  6. Step 6: Final answer
    x = 15,291.45

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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.