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Finding the Fourth Proportional to 21,976.84, 32,964.96 and 5,337

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Solution

The fourth proportional to 21,976.84, 32,964.96 and 5,337 is: 8,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976.84 : 32,964.96 = 5,337 : x
  2. Step 2: Convert to fraction form
    21,976.84/32,964.96 = 5,337/x
  3. Step 3: Cross multiply
    21,976.84x = 32,964.96 × 5,337
  4. Step 4: Simplify right side
    21,976.84x = 175,933,991.52
  5. Step 5: Solve for x
    x = 175,933,991.52/21,976.84
  6. Step 6: Final answer
    x = 8,005.43

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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.