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Finding the Fourth Proportional to 13,976.25, 20,964.38 and 3,588

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Solution

The fourth proportional to 13,976.25, 20,964.38 and 3,588 is: 5,382

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,976.25 : 20,964.38 = 3,588 : x
  2. Step 2: Convert to fraction form
    13,976.25/20,964.38 = 3,588/x
  3. Step 3: Cross multiply
    13,976.25x = 20,964.38 × 3,588
  4. Step 4: Simplify right side
    13,976.25x = 75,220,177.50
  5. Step 5: Solve for x
    x = 75,220,177.50/13,976.25
  6. Step 6: Final answer
    x = 5,382

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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.