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Finding the Fourth Proportional to 20,066, 30,100.52 and 6,024.94

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Solution

The fourth proportional to 20,066, 30,100.52 and 6,024.94 is: 9,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,066 : 30,100.52 = 6,024.94 : x
  2. Step 2: Convert to fraction form
    20,066/30,100.52 = 6,024.94/x
  3. Step 3: Cross multiply
    20,066x = 30,100.52 × 6,024.94
  4. Step 4: Simplify right side
    20,066x = 181,353,826.97
  5. Step 5: Solve for x
    x = 181,353,826.97/20,066
  6. Step 6: Final answer
    x = 9,037.87

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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.