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Finding the Fourth Proportional to 20,524.56, 30,790.68 and 6,671.76

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Solution

The fourth proportional to 20,524.56, 30,790.68 and 6,671.76 is: 10,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.56 : 30,790.68 = 6,671.76 : x
  2. Step 2: Convert to fraction form
    20,524.56/30,790.68 = 6,671.76/x
  3. Step 3: Cross multiply
    20,524.56x = 30,790.68 × 6,671.76
  4. Step 4: Simplify right side
    20,524.56x = 205,428,027.20
  5. Step 5: Solve for x
    x = 205,428,027.20/20,524.56
  6. Step 6: Final answer
    x = 10,008.89

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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.