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Finding the Fourth Proportional to 16,174.41, 22,319.49 and 9,099.47

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Solution

The fourth proportional to 16,174.41, 22,319.49 and 9,099.47 is: 12,556.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.41 : 22,319.49 = 9,099.47 : x
  2. Step 2: Convert to fraction form
    16,174.41/22,319.49 = 9,099.47/x
  3. Step 3: Cross multiply
    16,174.41x = 22,319.49 × 9,099.47
  4. Step 4: Simplify right side
    16,174.41x = 203,095,418.07
  5. Step 5: Solve for x
    x = 203,095,418.07/16,174.41
  6. Step 6: Final answer
    x = 12,556.59

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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.