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Finding the Fourth Proportional to 13,107.50, 19,644.86 and 10,323.18

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Solution

The fourth proportional to 13,107.50, 19,644.86 and 10,323.18 is: 15,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.50 : 19,644.86 = 10,323.18 : x
  2. Step 2: Convert to fraction form
    13,107.50/19,644.86 = 10,323.18/x
  3. Step 3: Cross multiply
    13,107.50x = 19,644.86 × 10,323.18
  4. Step 4: Simplify right side
    13,107.50x = 202,797,425.85
  5. Step 5: Solve for x
    x = 202,797,425.85/13,107.50
  6. Step 6: Final answer
    x = 15,471.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.