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Finding the Fourth Proportional to 12,186.72, 18,296.82 and 6,268.49

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Solution

The fourth proportional to 12,186.72, 18,296.82 and 6,268.49 is: 9,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.72 : 18,296.82 = 6,268.49 : x
  2. Step 2: Convert to fraction form
    12,186.72/18,296.82 = 6,268.49/x
  3. Step 3: Cross multiply
    12,186.72x = 18,296.82 × 6,268.49
  4. Step 4: Simplify right side
    12,186.72x = 114,693,397.11
  5. Step 5: Solve for x
    x = 114,693,397.11/12,186.72
  6. Step 6: Final answer
    x = 9,411.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.