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Finding the Fourth Proportional to 13,976.37, 20,960.24 and 5,215.41

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Solution

The fourth proportional to 13,976.37, 20,960.24 and 5,215.41 is: 7,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,976.37 : 20,960.24 = 5,215.41 : x
  2. Step 2: Convert to fraction form
    13,976.37/20,960.24 = 5,215.41/x
  3. Step 3: Cross multiply
    13,976.37x = 20,960.24 × 5,215.41
  4. Step 4: Simplify right side
    13,976.37x = 109,316,219.22
  5. Step 5: Solve for x
    x = 109,316,219.22/13,976.37
  6. Step 6: Final answer
    x = 7,821.50

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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.