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Finding the Fourth Proportional to 16,638.36, 22,960.74 and 9,564.24

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Solution

The fourth proportional to 16,638.36, 22,960.74 and 9,564.24 is: 13,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,638.36 : 22,960.74 = 9,564.24 : x
  2. Step 2: Convert to fraction form
    16,638.36/22,960.74 = 9,564.24/x
  3. Step 3: Cross multiply
    16,638.36x = 22,960.74 × 9,564.24
  4. Step 4: Simplify right side
    16,638.36x = 219,602,027.94
  5. Step 5: Solve for x
    x = 219,602,027.94/16,638.36
  6. Step 6: Final answer
    x = 13,198.54

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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.