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Finding the Fourth Proportional to 17,037.83, 25,540.14 and 8,150.84

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Solution

The fourth proportional to 17,037.83, 25,540.14 and 8,150.84 is: 12,218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,037.83 : 25,540.14 = 8,150.84 : x
  2. Step 2: Convert to fraction form
    17,037.83/25,540.14 = 8,150.84/x
  3. Step 3: Cross multiply
    17,037.83x = 25,540.14 × 8,150.84
  4. Step 4: Simplify right side
    17,037.83x = 208,173,560.50
  5. Step 5: Solve for x
    x = 208,173,560.50/17,037.83
  6. Step 6: Final answer
    x = 12,218.31

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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.