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Finding the Fourth Proportional to 13,531.67, 18,661.61 and 8,496.36

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Solution

The fourth proportional to 13,531.67, 18,661.61 and 8,496.36 is: 11,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.67 : 18,661.61 = 8,496.36 : x
  2. Step 2: Convert to fraction form
    13,531.67/18,661.61 = 8,496.36/x
  3. Step 3: Cross multiply
    13,531.67x = 18,661.61 × 8,496.36
  4. Step 4: Simplify right side
    13,531.67x = 158,555,714.26
  5. Step 5: Solve for x
    x = 158,555,714.26/13,531.67
  6. Step 6: Final answer
    x = 11,717.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.