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Finding the Fourth Proportional to 12,114.96, 16,717.77 and 6,808.83

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Solution

The fourth proportional to 12,114.96, 16,717.77 and 6,808.83 is: 9,395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.96 : 16,717.77 = 6,808.83 : x
  2. Step 2: Convert to fraction form
    12,114.96/16,717.77 = 6,808.83/x
  3. Step 3: Cross multiply
    12,114.96x = 16,717.77 × 6,808.83
  4. Step 4: Simplify right side
    12,114.96x = 113,828,453.91
  5. Step 5: Solve for x
    x = 113,828,453.91/12,114.96
  6. Step 6: Final answer
    x = 9,395.69

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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.