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Finding the Fourth Proportional to 21,919.64, 32,879.46 and 20,345

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Solution

The fourth proportional to 21,919.64, 32,879.46 and 20,345 is: 30,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,919.64 : 32,879.46 = 20,345 : x
  2. Step 2: Convert to fraction form
    21,919.64/32,879.46 = 20,345/x
  3. Step 3: Cross multiply
    21,919.64x = 32,879.46 × 20,345
  4. Step 4: Simplify right side
    21,919.64x = 668,932,613.70
  5. Step 5: Solve for x
    x = 668,932,613.70/21,919.64
  6. Step 6: Final answer
    x = 30,517.50

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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.