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Finding the Fourth Proportional to 13,276.50, 18,321.57 and 7,687.50

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Solution

The fourth proportional to 13,276.50, 18,321.57 and 7,687.50 is: 10,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,276.50 : 18,321.57 = 7,687.50 : x
  2. Step 2: Convert to fraction form
    13,276.50/18,321.57 = 7,687.50/x
  3. Step 3: Cross multiply
    13,276.50x = 18,321.57 × 7,687.50
  4. Step 4: Simplify right side
    13,276.50x = 140,847,069.38
  5. Step 5: Solve for x
    x = 140,847,069.38/13,276.50
  6. Step 6: Final answer
    x = 10,608.75

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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.