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Finding the Fourth Proportional to 16,824.67, 25,237.02 and 5,137.90

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Solution

The fourth proportional to 16,824.67, 25,237.02 and 5,137.90 is: 7,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.67 : 25,237.02 = 5,137.90 : x
  2. Step 2: Convert to fraction form
    16,824.67/25,237.02 = 5,137.90/x
  3. Step 3: Cross multiply
    16,824.67x = 25,237.02 × 5,137.90
  4. Step 4: Simplify right side
    16,824.67x = 129,665,285.06
  5. Step 5: Solve for x
    x = 129,665,285.06/16,824.67
  6. Step 6: Final answer
    x = 7,706.85

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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.