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Finding the Fourth Proportional to 20,224.72, 30,350.75 and 7,077.20

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Solution

The fourth proportional to 20,224.72, 30,350.75 and 7,077.20 is: 10,620.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.72 : 30,350.75 = 7,077.20 : x
  2. Step 2: Convert to fraction form
    20,224.72/30,350.75 = 7,077.20/x
  3. Step 3: Cross multiply
    20,224.72x = 30,350.75 × 7,077.20
  4. Step 4: Simplify right side
    20,224.72x = 214,798,445.20
  5. Step 5: Solve for x
    x = 214,798,445.20/20,224.72
  6. Step 6: Final answer
    x = 10,620.59

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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.