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Finding the Fourth Proportional to 11,759.72, 17,619.05 and 9,797.94

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Solution

The fourth proportional to 11,759.72, 17,619.05 and 9,797.94 is: 14,679.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.72 : 17,619.05 = 9,797.94 : x
  2. Step 2: Convert to fraction form
    11,759.72/17,619.05 = 9,797.94/x
  3. Step 3: Cross multiply
    11,759.72x = 17,619.05 × 9,797.94
  4. Step 4: Simplify right side
    11,759.72x = 172,630,345.77
  5. Step 5: Solve for x
    x = 172,630,345.77/11,759.72
  6. Step 6: Final answer
    x = 14,679.81

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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.