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Finding the Fourth Proportional to 16,835.80, 25,253.80 and 5,149.02

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Solution

The fourth proportional to 16,835.80, 25,253.80 and 5,149.02 is: 7,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,835.80 : 25,253.80 = 5,149.02 : x
  2. Step 2: Convert to fraction form
    16,835.80/25,253.80 = 5,149.02/x
  3. Step 3: Cross multiply
    16,835.80x = 25,253.80 × 5,149.02
  4. Step 4: Simplify right side
    16,835.80x = 130,032,321.28
  5. Step 5: Solve for x
    x = 130,032,321.28/16,835.80
  6. Step 6: Final answer
    x = 7,723.56

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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.