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Finding the Fourth Proportional to 11,748.13, 17,617.86 and 8,236.36

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Solution

The fourth proportional to 11,748.13, 17,617.86 and 8,236.36 is: 12,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.13 : 17,617.86 = 8,236.36 : x
  2. Step 2: Convert to fraction form
    11,748.13/17,617.86 = 8,236.36/x
  3. Step 3: Cross multiply
    11,748.13x = 17,617.86 × 8,236.36
  4. Step 4: Simplify right side
    11,748.13x = 145,107,037.39
  5. Step 5: Solve for x
    x = 145,107,037.39/11,748.13
  6. Step 6: Final answer
    x = 12,351.50

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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.