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Finding the Fourth Proportional to 20,255.31, 30,387.81 and 7,775.43

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Solution

The fourth proportional to 20,255.31, 30,387.81 and 7,775.43 is: 11,665.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,255.31 : 30,387.81 = 7,775.43 : x
  2. Step 2: Convert to fraction form
    20,255.31/30,387.81 = 7,775.43/x
  3. Step 3: Cross multiply
    20,255.31x = 30,387.81 × 7,775.43
  4. Step 4: Simplify right side
    20,255.31x = 236,278,289.51
  5. Step 5: Solve for x
    x = 236,278,289.51/20,255.31
  6. Step 6: Final answer
    x = 11,665.00

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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.