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Finding the Fourth Proportional to 13,554, 20,282.40 and 8,010.36

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Solution

The fourth proportional to 13,554, 20,282.40 and 8,010.36 is: 11,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,554 : 20,282.40 = 8,010.36 : x
  2. Step 2: Convert to fraction form
    13,554/20,282.40 = 8,010.36/x
  3. Step 3: Cross multiply
    13,554x = 20,282.40 × 8,010.36
  4. Step 4: Simplify right side
    13,554x = 162,469,325.66
  5. Step 5: Solve for x
    x = 162,469,325.66/13,554
  6. Step 6: Final answer
    x = 11,986.82

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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.