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Finding the Fourth Proportional to 21,906.60, 32,822.10 and 10,195.80

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Solution

The fourth proportional to 21,906.60, 32,822.10 and 10,195.80 is: 15,276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.60 : 32,822.10 = 10,195.80 : x
  2. Step 2: Convert to fraction form
    21,906.60/32,822.10 = 10,195.80/x
  3. Step 3: Cross multiply
    21,906.60x = 32,822.10 × 10,195.80
  4. Step 4: Simplify right side
    21,906.60x = 334,647,567.18
  5. Step 5: Solve for x
    x = 334,647,567.18/21,906.60
  6. Step 6: Final answer
    x = 15,276.11

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1.5x scale

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.