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Finding the Fourth Proportional to 16,793.92, 23,146.32 and 12,308.14

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Solution

The fourth proportional to 16,793.92, 23,146.32 and 12,308.14 is: 16,963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,793.92 : 23,146.32 = 12,308.14 : x
  2. Step 2: Convert to fraction form
    16,793.92/23,146.32 = 12,308.14/x
  3. Step 3: Cross multiply
    16,793.92x = 23,146.32 × 12,308.14
  4. Step 4: Simplify right side
    16,793.92x = 284,888,147.04
  5. Step 5: Solve for x
    x = 284,888,147.04/16,793.92
  6. Step 6: Final answer
    x = 16,963.77

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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.