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Finding the Fourth Proportional to 20,198.48, 30,278.52 and 7,047.32

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Solution

The fourth proportional to 20,198.48, 30,278.52 and 7,047.32 is: 10,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.48 : 30,278.52 = 7,047.32 : x
  2. Step 2: Convert to fraction form
    20,198.48/30,278.52 = 7,047.32/x
  3. Step 3: Cross multiply
    20,198.48x = 30,278.52 × 7,047.32
  4. Step 4: Simplify right side
    20,198.48x = 213,382,268.17
  5. Step 5: Solve for x
    x = 213,382,268.17/20,198.48
  6. Step 6: Final answer
    x = 10,564.28

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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.