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Finding the Fourth Proportional to 16,733.82, 23,092.98 and 9,180.54

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Solution

The fourth proportional to 16,733.82, 23,092.98 and 9,180.54 is: 12,669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,733.82 : 23,092.98 = 9,180.54 : x
  2. Step 2: Convert to fraction form
    16,733.82/23,092.98 = 9,180.54/x
  3. Step 3: Cross multiply
    16,733.82x = 23,092.98 × 9,180.54
  4. Step 4: Simplify right side
    16,733.82x = 212,005,911.14
  5. Step 5: Solve for x
    x = 212,005,911.14/16,733.82
  6. Step 6: Final answer
    x = 12,669.31

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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.