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Finding the Fourth Proportional to 20,174.76, 30,262.28 and 7,027.10

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Solution

The fourth proportional to 20,174.76, 30,262.28 and 7,027.10 is: 10,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.76 : 30,262.28 = 7,027.10 : x
  2. Step 2: Convert to fraction form
    20,174.76/30,262.28 = 7,027.10/x
  3. Step 3: Cross multiply
    20,174.76x = 30,262.28 × 7,027.10
  4. Step 4: Simplify right side
    20,174.76x = 212,655,881.34
  5. Step 5: Solve for x
    x = 212,655,881.34/20,174.76
  6. Step 6: Final answer
    x = 10,540.69

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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.