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Finding the Fourth Proportional to 13,930.72, 20,901.84 and 8,387.44

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Solution

The fourth proportional to 13,930.72, 20,901.84 and 8,387.44 is: 12,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.72 : 20,901.84 = 8,387.44 : x
  2. Step 2: Convert to fraction form
    13,930.72/20,901.84 = 8,387.44/x
  3. Step 3: Cross multiply
    13,930.72x = 20,901.84 × 8,387.44
  4. Step 4: Simplify right side
    13,930.72x = 175,312,928.89
  5. Step 5: Solve for x
    x = 175,312,928.89/13,930.72
  6. Step 6: Final answer
    x = 12,584.63

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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.