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Finding the Fourth Proportional to 20,201.14, 30,308.99 and 7,055.44

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Solution

The fourth proportional to 20,201.14, 30,308.99 and 7,055.44 is: 10,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.14 : 30,308.99 = 7,055.44 : x
  2. Step 2: Convert to fraction form
    20,201.14/30,308.99 = 7,055.44/x
  3. Step 3: Cross multiply
    20,201.14x = 30,308.99 × 7,055.44
  4. Step 4: Simplify right side
    20,201.14x = 213,843,260.41
  5. Step 5: Solve for x
    x = 213,843,260.41/20,201.14
  6. Step 6: Final answer
    x = 10,585.70

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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.