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Finding the Fourth Proportional to 20,157.76, 30,239.75 and 10,291.69

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Solution

The fourth proportional to 20,157.76, 30,239.75 and 10,291.69 is: 15,439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.76 : 30,239.75 = 10,291.69 : x
  2. Step 2: Convert to fraction form
    20,157.76/30,239.75 = 10,291.69/x
  3. Step 3: Cross multiply
    20,157.76x = 30,239.75 × 10,291.69
  4. Step 4: Simplify right side
    20,157.76x = 311,218,132.68
  5. Step 5: Solve for x
    x = 311,218,132.68/20,157.76
  6. Step 6: Final answer
    x = 15,439.12

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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.