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Finding the Fourth Proportional to 12,243.69, 16,895.79 and 6,865.83

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Solution

The fourth proportional to 12,243.69, 16,895.79 and 6,865.83 is: 9,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243.69 : 16,895.79 = 6,865.83 : x
  2. Step 2: Convert to fraction form
    12,243.69/16,895.79 = 6,865.83/x
  3. Step 3: Cross multiply
    12,243.69x = 16,895.79 × 6,865.83
  4. Step 4: Simplify right side
    12,243.69x = 116,003,621.86
  5. Step 5: Solve for x
    x = 116,003,621.86/12,243.69
  6. Step 6: Final answer
    x = 9,474.56

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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.