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Finding the Fourth Proportional to 12,207.81, 16,843.85 and 8,429.77

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Solution

The fourth proportional to 12,207.81, 16,843.85 and 8,429.77 is: 11,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.81 : 16,843.85 = 8,429.77 : x
  2. Step 2: Convert to fraction form
    12,207.81/16,843.85 = 8,429.77/x
  3. Step 3: Cross multiply
    12,207.81x = 16,843.85 × 8,429.77
  4. Step 4: Simplify right side
    12,207.81x = 141,989,791.93
  5. Step 5: Solve for x
    x = 141,989,791.93/12,207.81
  6. Step 6: Final answer
    x = 11,631.06

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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.