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Finding the Fourth Proportional to 19,912.89, 27,475.38 and 11,524.53

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Solution

The fourth proportional to 19,912.89, 27,475.38 and 11,524.53 is: 15,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,912.89 : 27,475.38 = 11,524.53 : x
  2. Step 2: Convert to fraction form
    19,912.89/27,475.38 = 11,524.53/x
  3. Step 3: Cross multiply
    19,912.89x = 27,475.38 × 11,524.53
  4. Step 4: Simplify right side
    19,912.89x = 316,640,841.07
  5. Step 5: Solve for x
    x = 316,640,841.07/19,912.89
  6. Step 6: Final answer
    x = 15,901.30

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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.