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Finding the Fourth Proportional to 16,175.87, 22,323.41 and 9,102.27

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Solution

The fourth proportional to 16,175.87, 22,323.41 and 9,102.27 is: 12,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.87 : 22,323.41 = 9,102.27 : x
  2. Step 2: Convert to fraction form
    16,175.87/22,323.41 = 9,102.27/x
  3. Step 3: Cross multiply
    16,175.87x = 22,323.41 × 9,102.27
  4. Step 4: Simplify right side
    16,175.87x = 203,193,705.14
  5. Step 5: Solve for x
    x = 203,193,705.14/16,175.87
  6. Step 6: Final answer
    x = 12,561.53

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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.