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Finding the Fourth Proportional to 12,186.24, 16,817.08 and 6,881.20

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Solution

The fourth proportional to 12,186.24, 16,817.08 and 6,881.20 is: 9,496.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.24 : 16,817.08 = 6,881.20 : x
  2. Step 2: Convert to fraction form
    12,186.24/16,817.08 = 6,881.20/x
  3. Step 3: Cross multiply
    12,186.24x = 16,817.08 × 6,881.20
  4. Step 4: Simplify right side
    12,186.24x = 115,721,690.90
  5. Step 5: Solve for x
    x = 115,721,690.90/12,186.24
  6. Step 6: Final answer
    x = 9,496.09

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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.