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Finding the Fourth Proportional to 21,481.40, 32,222.10 and 16,297.40

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Solution

The fourth proportional to 21,481.40, 32,222.10 and 16,297.40 is: 24,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,481.40 : 32,222.10 = 16,297.40 : x
  2. Step 2: Convert to fraction form
    21,481.40/32,222.10 = 16,297.40/x
  3. Step 3: Cross multiply
    21,481.40x = 32,222.10 × 16,297.40
  4. Step 4: Simplify right side
    21,481.40x = 525,136,452.54
  5. Step 5: Solve for x
    x = 525,136,452.54/21,481.40
  6. Step 6: Final answer
    x = 24,446.10

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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.