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Finding the Fourth Proportional to 21,879.24, 32,815.20 and 7,086.02

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Solution

The fourth proportional to 21,879.24, 32,815.20 and 7,086.02 is: 10,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,879.24 : 32,815.20 = 7,086.02 : x
  2. Step 2: Convert to fraction form
    21,879.24/32,815.20 = 7,086.02/x
  3. Step 3: Cross multiply
    21,879.24x = 32,815.20 × 7,086.02
  4. Step 4: Simplify right side
    21,879.24x = 232,529,163.50
  5. Step 5: Solve for x
    x = 232,529,163.50/21,879.24
  6. Step 6: Final answer
    x = 10,627.84

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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.