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Finding the Fourth Proportional to 16,348.24, 22,560.12 and 8,896.24

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Solution

The fourth proportional to 16,348.24, 22,560.12 and 8,896.24 is: 12,276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348.24 : 22,560.12 = 8,896.24 : x
  2. Step 2: Convert to fraction form
    16,348.24/22,560.12 = 8,896.24/x
  3. Step 3: Cross multiply
    16,348.24x = 22,560.12 × 8,896.24
  4. Step 4: Simplify right side
    16,348.24x = 200,700,241.95
  5. Step 5: Solve for x
    x = 200,700,241.95/16,348.24
  6. Step 6: Final answer
    x = 12,276.57

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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.