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Finding the Fourth Proportional to 11,893.87, 17,833.26 and 10,131.95

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Solution

The fourth proportional to 11,893.87, 17,833.26 and 10,131.95 is: 15,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.87 : 17,833.26 = 10,131.95 : x
  2. Step 2: Convert to fraction form
    11,893.87/17,833.26 = 10,131.95/x
  3. Step 3: Cross multiply
    11,893.87x = 17,833.26 × 10,131.95
  4. Step 4: Simplify right side
    11,893.87x = 180,685,781.23
  5. Step 5: Solve for x
    x = 180,685,781.23/11,893.87
  6. Step 6: Final answer
    x = 15,191.50

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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.