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Finding the Fourth Proportional to 21,676.80, 32,493.60 and 9,969.60

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Solution

The fourth proportional to 21,676.80, 32,493.60 and 9,969.60 is: 14,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.80 : 32,493.60 = 9,969.60 : x
  2. Step 2: Convert to fraction form
    21,676.80/32,493.60 = 9,969.60/x
  3. Step 3: Cross multiply
    21,676.80x = 32,493.60 × 9,969.60
  4. Step 4: Simplify right side
    21,676.80x = 323,948,194.56
  5. Step 5: Solve for x
    x = 323,948,194.56/21,676.80
  6. Step 6: Final answer
    x = 14,944.47

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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.