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Finding the Fourth Proportional to 12,185.68, 16,817.36 and 6,881.80

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Solution

The fourth proportional to 12,185.68, 16,817.36 and 6,881.80 is: 9,497.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.68 : 16,817.36 = 6,881.80 : x
  2. Step 2: Convert to fraction form
    12,185.68/16,817.36 = 6,881.80/x
  3. Step 3: Cross multiply
    12,185.68x = 16,817.36 × 6,881.80
  4. Step 4: Simplify right side
    12,185.68x = 115,733,708.05
  5. Step 5: Solve for x
    x = 115,733,708.05/12,185.68
  6. Step 6: Final answer
    x = 9,497.52

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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.