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Finding the Fourth Proportional to 21,976.60, 32,964.60 and 5,336.50

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Solution

The fourth proportional to 21,976.60, 32,964.60 and 5,336.50 is: 8,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976.60 : 32,964.60 = 5,336.50 : x
  2. Step 2: Convert to fraction form
    21,976.60/32,964.60 = 5,336.50/x
  3. Step 3: Cross multiply
    21,976.60x = 32,964.60 × 5,336.50
  4. Step 4: Simplify right side
    21,976.60x = 175,915,587.90
  5. Step 5: Solve for x
    x = 175,915,587.90/21,976.60
  6. Step 6: Final answer
    x = 8,004.68

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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.