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Finding the Fourth Proportional to 16,086.76, 22,201.92 and 9,014.68

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Solution

The fourth proportional to 16,086.76, 22,201.92 and 9,014.68 is: 12,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,086.76 : 22,201.92 = 9,014.68 : x
  2. Step 2: Convert to fraction form
    16,086.76/22,201.92 = 9,014.68/x
  3. Step 3: Cross multiply
    16,086.76x = 22,201.92 × 9,014.68
  4. Step 4: Simplify right side
    16,086.76x = 200,143,204.19
  5. Step 5: Solve for x
    x = 200,143,204.19/16,086.76
  6. Step 6: Final answer
    x = 12,441.49

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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.