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Finding the Fourth Proportional to 22,231.28, 30,678 and 12,157.76

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Solution

The fourth proportional to 22,231.28, 30,678 and 12,157.76 is: 16,777.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,231.28 : 30,678 = 12,157.76 : x
  2. Step 2: Convert to fraction form
    22,231.28/30,678 = 12,157.76/x
  3. Step 3: Cross multiply
    22,231.28x = 30,678 × 12,157.76
  4. Step 4: Simplify right side
    22,231.28x = 372,975,607.89
  5. Step 5: Solve for x
    x = 372,975,607.89/22,231.28
  6. Step 6: Final answer
    x = 16,777.07

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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.