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Finding the Fourth Proportional to 20,734.68, 31,090.14 and 7,591.08

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Solution

The fourth proportional to 20,734.68, 31,090.14 and 7,591.08 is: 11,382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,734.68 : 31,090.14 = 7,591.08 : x
  2. Step 2: Convert to fraction form
    20,734.68/31,090.14 = 7,591.08/x
  3. Step 3: Cross multiply
    20,734.68x = 31,090.14 × 7,591.08
  4. Step 4: Simplify right side
    20,734.68x = 236,007,739.95
  5. Step 5: Solve for x
    x = 236,007,739.95/20,734.68
  6. Step 6: Final answer
    x = 11,382.27

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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.