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Finding the Fourth Proportional to 14,884.80, 20,531.20 and 9,571.20

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Solution

The fourth proportional to 14,884.80, 20,531.20 and 9,571.20 is: 13,201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884.80 : 20,531.20 = 9,571.20 : x
  2. Step 2: Convert to fraction form
    14,884.80/20,531.20 = 9,571.20/x
  3. Step 3: Cross multiply
    14,884.80x = 20,531.20 × 9,571.20
  4. Step 4: Simplify right side
    14,884.80x = 196,508,221.44
  5. Step 5: Solve for x
    x = 196,508,221.44/14,884.80
  6. Step 6: Final answer
    x = 13,201.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.