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Finding the Fourth Proportional to 16,805.54, 23,192.24 and 9,636.57

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Solution

The fourth proportional to 16,805.54, 23,192.24 and 9,636.57 is: 13,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.54 : 23,192.24 = 9,636.57 : x
  2. Step 2: Convert to fraction form
    16,805.54/23,192.24 = 9,636.57/x
  3. Step 3: Cross multiply
    16,805.54x = 23,192.24 × 9,636.57
  4. Step 4: Simplify right side
    16,805.54x = 223,493,644.22
  5. Step 5: Solve for x
    x = 223,493,644.22/16,805.54
  6. Step 6: Final answer
    x = 13,298.81

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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.