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Finding the Fourth Proportional to 12,186.68, 16,816.68 and 6,881.96

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Solution

The fourth proportional to 12,186.68, 16,816.68 and 6,881.96 is: 9,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.68 : 16,816.68 = 6,881.96 : x
  2. Step 2: Convert to fraction form
    12,186.68/16,816.68 = 6,881.96/x
  3. Step 3: Cross multiply
    12,186.68x = 16,816.68 × 6,881.96
  4. Step 4: Simplify right side
    12,186.68x = 115,731,719.09
  5. Step 5: Solve for x
    x = 115,731,719.09/12,186.68
  6. Step 6: Final answer
    x = 9,496.57

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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.