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Finding the Fourth Proportional to 20,447.74, 30,671.61 and 6,407.76

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Solution

The fourth proportional to 20,447.74, 30,671.61 and 6,407.76 is: 9,611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,447.74 : 30,671.61 = 6,407.76 : x
  2. Step 2: Convert to fraction form
    20,447.74/30,671.61 = 6,407.76/x
  3. Step 3: Cross multiply
    20,447.74x = 30,671.61 × 6,407.76
  4. Step 4: Simplify right side
    20,447.74x = 196,536,446.73
  5. Step 5: Solve for x
    x = 196,536,446.73/20,447.74
  6. Step 6: Final answer
    x = 9,611.65

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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.