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Finding the Fourth Proportional to 20,538.81, 30,811.52 and 8,052.06

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Solution

The fourth proportional to 20,538.81, 30,811.52 and 8,052.06 is: 12,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538.81 : 30,811.52 = 8,052.06 : x
  2. Step 2: Convert to fraction form
    20,538.81/30,811.52 = 8,052.06/x
  3. Step 3: Cross multiply
    20,538.81x = 30,811.52 × 8,052.06
  4. Step 4: Simplify right side
    20,538.81x = 248,096,207.73
  5. Step 5: Solve for x
    x = 248,096,207.73/20,538.81
  6. Step 6: Final answer
    x = 12,079.39

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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.