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Finding the Fourth Proportional to 16,822.66, 23,214.85 and 9,268.86

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Solution

The fourth proportional to 16,822.66, 23,214.85 and 9,268.86 is: 12,790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.66 : 23,214.85 = 9,268.86 : x
  2. Step 2: Convert to fraction form
    16,822.66/23,214.85 = 9,268.86/x
  3. Step 3: Cross multiply
    16,822.66x = 23,214.85 × 9,268.86
  4. Step 4: Simplify right side
    16,822.66x = 215,175,114.72
  5. Step 5: Solve for x
    x = 215,175,114.72/16,822.66
  6. Step 6: Final answer
    x = 12,790.79

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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.