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Finding the Fourth Proportional to 13,529.93, 18,659.20 and 8,494.61

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Solution

The fourth proportional to 13,529.93, 18,659.20 and 8,494.61 is: 11,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,529.93 : 18,659.20 = 8,494.61 : x
  2. Step 2: Convert to fraction form
    13,529.93/18,659.20 = 8,494.61/x
  3. Step 3: Cross multiply
    13,529.93x = 18,659.20 × 8,494.61
  4. Step 4: Simplify right side
    13,529.93x = 158,502,584.44
  5. Step 5: Solve for x
    x = 158,502,584.44/13,529.93
  6. Step 6: Final answer
    x = 11,714.96

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