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Finding the Fourth Proportional to 16,822.80, 25,237.80 and 5,137.20

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Solution

The fourth proportional to 16,822.80, 25,237.80 and 5,137.20 is: 7,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.80 : 25,237.80 = 5,137.20 : x
  2. Step 2: Convert to fraction form
    16,822.80/25,237.80 = 5,137.20/x
  3. Step 3: Cross multiply
    16,822.80x = 25,237.80 × 5,137.20
  4. Step 4: Simplify right side
    16,822.80x = 129,651,626.16
  5. Step 5: Solve for x
    x = 129,651,626.16/16,822.80
  6. Step 6: Final answer
    x = 7,706.90

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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.