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Finding the Fourth Proportional to 20,157.26, 30,239.02 and 10,291.20

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Solution

The fourth proportional to 20,157.26, 30,239.02 and 10,291.20 is: 15,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.26 : 30,239.02 = 10,291.20 : x
  2. Step 2: Convert to fraction form
    20,157.26/30,239.02 = 10,291.20/x
  3. Step 3: Cross multiply
    20,157.26x = 30,239.02 × 10,291.20
  4. Step 4: Simplify right side
    20,157.26x = 311,195,802.62
  5. Step 5: Solve for x
    x = 311,195,802.62/20,157.26
  6. Step 6: Final answer
    x = 15,438.40

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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.