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Finding the Fourth Proportional to 24,195.80, 36,280.70 and 8,611.40

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Solution

The fourth proportional to 24,195.80, 36,280.70 and 8,611.40 is: 12,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,195.80 : 36,280.70 = 8,611.40 : x
  2. Step 2: Convert to fraction form
    24,195.80/36,280.70 = 8,611.40/x
  3. Step 3: Cross multiply
    24,195.80x = 36,280.70 × 8,611.40
  4. Step 4: Simplify right side
    24,195.80x = 312,427,619.98
  5. Step 5: Solve for x
    x = 312,427,619.98/24,195.80
  6. Step 6: Final answer
    x = 12,912.47

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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.