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Finding the Fourth Proportional to 16,175.97, 22,319.15 and 9,099.81

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Solution

The fourth proportional to 16,175.97, 22,319.15 and 9,099.81 is: 12,555.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.97 : 22,319.15 = 9,099.81 : x
  2. Step 2: Convert to fraction form
    16,175.97/22,319.15 = 9,099.81/x
  3. Step 3: Cross multiply
    16,175.97x = 22,319.15 × 9,099.81
  4. Step 4: Simplify right side
    16,175.97x = 203,099,978.86
  5. Step 5: Solve for x
    x = 203,099,978.86/16,175.97
  6. Step 6: Final answer
    x = 12,555.66

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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.