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Finding the Fourth Proportional to 20,240.51, 30,339.97 and 7,757.15

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Solution

The fourth proportional to 20,240.51, 30,339.97 and 7,757.15 is: 11,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,240.51 : 30,339.97 = 7,757.15 : x
  2. Step 2: Convert to fraction form
    20,240.51/30,339.97 = 7,757.15/x
  3. Step 3: Cross multiply
    20,240.51x = 30,339.97 × 7,757.15
  4. Step 4: Simplify right side
    20,240.51x = 235,351,527.19
  5. Step 5: Solve for x
    x = 235,351,527.19/20,240.51
  6. Step 6: Final answer
    x = 11,627.75

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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.