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Finding the Fourth Proportional to 20,126.20, 30,190.86 and 7,652.20

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Solution

The fourth proportional to 20,126.20, 30,190.86 and 7,652.20 is: 11,478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,126.20 : 30,190.86 = 7,652.20 : x
  2. Step 2: Convert to fraction form
    20,126.20/30,190.86 = 7,652.20/x
  3. Step 3: Cross multiply
    20,126.20x = 30,190.86 × 7,652.20
  4. Step 4: Simplify right side
    20,126.20x = 231,026,498.89
  5. Step 5: Solve for x
    x = 231,026,498.89/20,126.20
  6. Step 6: Final answer
    x = 11,478.89

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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.