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Finding the Fourth Proportional to 16,173.87, 22,319.66 and 9,099.63

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Solution

The fourth proportional to 16,173.87, 22,319.66 and 9,099.63 is: 12,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,173.87 : 22,319.66 = 9,099.63 : x
  2. Step 2: Convert to fraction form
    16,173.87/22,319.66 = 9,099.63/x
  3. Step 3: Cross multiply
    16,173.87x = 22,319.66 × 9,099.63
  4. Step 4: Simplify right side
    16,173.87x = 203,100,602.23
  5. Step 5: Solve for x
    x = 203,100,602.23/16,173.87
  6. Step 6: Final answer
    x = 12,557.33

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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.