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Finding the Fourth Proportional to 16,496.88, 22,765.56 and 8,943.12

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Solution

The fourth proportional to 16,496.88, 22,765.56 and 8,943.12 is: 12,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.88 : 22,765.56 = 8,943.12 : x
  2. Step 2: Convert to fraction form
    16,496.88/22,765.56 = 8,943.12/x
  3. Step 3: Cross multiply
    16,496.88x = 22,765.56 × 8,943.12
  4. Step 4: Simplify right side
    16,496.88x = 203,595,134.95
  5. Step 5: Solve for x
    x = 203,595,134.95/16,496.88
  6. Step 6: Final answer
    x = 12,341.43

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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.