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Finding the Fourth Proportional to 17,581.73, 26,369.75 and 6,493.64

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Solution

The fourth proportional to 17,581.73, 26,369.75 and 6,493.64 is: 9,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,581.73 : 26,369.75 = 6,493.64 : x
  2. Step 2: Convert to fraction form
    17,581.73/26,369.75 = 6,493.64/x
  3. Step 3: Cross multiply
    17,581.73x = 26,369.75 × 6,493.64
  4. Step 4: Simplify right side
    17,581.73x = 171,235,499.07
  5. Step 5: Solve for x
    x = 171,235,499.07/17,581.73
  6. Step 6: Final answer
    x = 9,739.40

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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.