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Finding the Fourth Proportional to 22,238.28, 30,687.66 and 12,164.76

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Solution

The fourth proportional to 22,238.28, 30,687.66 and 12,164.76 is: 16,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,238.28 : 30,687.66 = 12,164.76 : x
  2. Step 2: Convert to fraction form
    22,238.28/30,687.66 = 12,164.76/x
  3. Step 3: Cross multiply
    22,238.28x = 30,687.66 × 12,164.76
  4. Step 4: Simplify right side
    22,238.28x = 373,308,018.86
  5. Step 5: Solve for x
    x = 373,308,018.86/22,238.28
  6. Step 6: Final answer
    x = 16,786.73

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