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Finding the Fourth Proportional to 12,355.14, 16,935.70 and 12,189

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Solution

The fourth proportional to 12,355.14, 16,935.70 and 12,189 is: 16,707.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,355.14 : 16,935.70 = 12,189 : x
  2. Step 2: Convert to fraction form
    12,355.14/16,935.70 = 12,189/x
  3. Step 3: Cross multiply
    12,355.14x = 16,935.70 × 12,189
  4. Step 4: Simplify right side
    12,355.14x = 206,429,247.30
  5. Step 5: Solve for x
    x = 206,429,247.30/12,355.14
  6. Step 6: Final answer
    x = 16,707.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.