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Finding the Fourth Proportional to 15,898.78, 21,938.73 and 8,824.44

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Solution

The fourth proportional to 15,898.78, 21,938.73 and 8,824.44 is: 12,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,898.78 : 21,938.73 = 8,824.44 : x
  2. Step 2: Convert to fraction form
    15,898.78/21,938.73 = 8,824.44/x
  3. Step 3: Cross multiply
    15,898.78x = 21,938.73 × 8,824.44
  4. Step 4: Simplify right side
    15,898.78x = 193,597,006.56
  5. Step 5: Solve for x
    x = 193,597,006.56/15,898.78
  6. Step 6: Final answer
    x = 12,176.85

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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.