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Finding the Fourth Proportional to 16,896.76, 23,317.20 and 9,343.17

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Solution

The fourth proportional to 16,896.76, 23,317.20 and 9,343.17 is: 12,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,896.76 : 23,317.20 = 9,343.17 : x
  2. Step 2: Convert to fraction form
    16,896.76/23,317.20 = 9,343.17/x
  3. Step 3: Cross multiply
    16,896.76x = 23,317.20 × 9,343.17
  4. Step 4: Simplify right side
    16,896.76x = 217,856,563.52
  5. Step 5: Solve for x
    x = 217,856,563.52/16,896.76
  6. Step 6: Final answer
    x = 12,893.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.