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Finding the Fourth Proportional to 11,436.88, 17,131.48 and 9,203.68

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Solution

The fourth proportional to 11,436.88, 17,131.48 and 9,203.68 is: 13,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.88 : 17,131.48 = 9,203.68 : x
  2. Step 2: Convert to fraction form
    11,436.88/17,131.48 = 9,203.68/x
  3. Step 3: Cross multiply
    11,436.88x = 17,131.48 × 9,203.68
  4. Step 4: Simplify right side
    11,436.88x = 157,672,659.85
  5. Step 5: Solve for x
    x = 157,672,659.85/11,436.88
  6. Step 6: Final answer
    x = 13,786.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.