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Finding the Fourth Proportional to 16,683.72, 23,042.43 and 11,369.31

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Solution

The fourth proportional to 16,683.72, 23,042.43 and 11,369.31 is: 15,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,683.72 : 23,042.43 = 11,369.31 : x
  2. Step 2: Convert to fraction form
    16,683.72/23,042.43 = 11,369.31/x
  3. Step 3: Cross multiply
    16,683.72x = 23,042.43 × 11,369.31
  4. Step 4: Simplify right side
    16,683.72x = 261,976,529.82
  5. Step 5: Solve for x
    x = 261,976,529.82/16,683.72
  6. Step 6: Final answer
    x = 15,702.52

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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.