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Finding the Fourth Proportional to 17,507.02, 26,245.78 and 8,142.24

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Solution

The fourth proportional to 17,507.02, 26,245.78 and 8,142.24 is: 12,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507.02 : 26,245.78 = 8,142.24 : x
  2. Step 2: Convert to fraction form
    17,507.02/26,245.78 = 8,142.24/x
  3. Step 3: Cross multiply
    17,507.02x = 26,245.78 × 8,142.24
  4. Step 4: Simplify right side
    17,507.02x = 213,699,439.75
  5. Step 5: Solve for x
    x = 213,699,439.75/17,507.02
  6. Step 6: Final answer
    x = 12,206.50

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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.