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Finding the Fourth Proportional to 21,976, 32,963.92 and 5,336.02

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Solution

The fourth proportional to 21,976, 32,963.92 and 5,336.02 is: 8,004.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976 : 32,963.92 = 5,336.02 : x
  2. Step 2: Convert to fraction form
    21,976/32,963.92 = 5,336.02/x
  3. Step 3: Cross multiply
    21,976x = 32,963.92 × 5,336.02
  4. Step 4: Simplify right side
    21,976x = 175,896,136.40
  5. Step 5: Solve for x
    x = 175,896,136.40/21,976
  6. Step 6: Final answer
    x = 8,004.01

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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.