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Finding the Fourth Proportional to 20,195.40, 30,298.41 and 7,047.75

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Solution

The fourth proportional to 20,195.40, 30,298.41 and 7,047.75 is: 10,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195.40 : 30,298.41 = 7,047.75 : x
  2. Step 2: Convert to fraction form
    20,195.40/30,298.41 = 7,047.75/x
  3. Step 3: Cross multiply
    20,195.40x = 30,298.41 × 7,047.75
  4. Step 4: Simplify right side
    20,195.40x = 213,535,619.08
  5. Step 5: Solve for x
    x = 213,535,619.08/20,195.40
  6. Step 6: Final answer
    x = 10,573.48

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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.