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Finding the Fourth Proportional to 14,702.27, 20,287.94 and 8,651.55

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Solution

The fourth proportional to 14,702.27, 20,287.94 and 8,651.55 is: 11,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.27 : 20,287.94 = 8,651.55 : x
  2. Step 2: Convert to fraction form
    14,702.27/20,287.94 = 8,651.55/x
  3. Step 3: Cross multiply
    14,702.27x = 20,287.94 × 8,651.55
  4. Step 4: Simplify right side
    14,702.27x = 175,522,084.05
  5. Step 5: Solve for x
    x = 175,522,084.05/14,702.27
  6. Step 6: Final answer
    x = 11,938.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.