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Finding the Fourth Proportional to 16,199.31, 24,299 and 4,512.57

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Solution

The fourth proportional to 16,199.31, 24,299 and 4,512.57 is: 6,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.31 : 24,299 = 4,512.57 : x
  2. Step 2: Convert to fraction form
    16,199.31/24,299 = 4,512.57/x
  3. Step 3: Cross multiply
    16,199.31x = 24,299 × 4,512.57
  4. Step 4: Simplify right side
    16,199.31x = 109,650,938.43
  5. Step 5: Solve for x
    x = 109,650,938.43/16,199.31
  6. Step 6: Final answer
    x = 6,768.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.