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Finding the Fourth Proportional to 12,231.81, 16,845.64 and 11,124.64

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Solution

The fourth proportional to 12,231.81, 16,845.64 and 11,124.64 is: 15,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.81 : 16,845.64 = 11,124.64 : x
  2. Step 2: Convert to fraction form
    12,231.81/16,845.64 = 11,124.64/x
  3. Step 3: Cross multiply
    12,231.81x = 16,845.64 × 11,124.64
  4. Step 4: Simplify right side
    12,231.81x = 187,401,673.82
  5. Step 5: Solve for x
    x = 187,401,673.82/12,231.81
  6. Step 6: Final answer
    x = 15,320.85

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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.