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Finding the Fourth Proportional to 15,984.24, 22,057.92 and 8,910.24

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Solution

The fourth proportional to 15,984.24, 22,057.92 and 8,910.24 is: 12,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984.24 : 22,057.92 = 8,910.24 : x
  2. Step 2: Convert to fraction form
    15,984.24/22,057.92 = 8,910.24/x
  3. Step 3: Cross multiply
    15,984.24x = 22,057.92 × 8,910.24
  4. Step 4: Simplify right side
    15,984.24x = 196,541,361.10
  5. Step 5: Solve for x
    x = 196,541,361.10/15,984.24
  6. Step 6: Final answer
    x = 12,295.95

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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.