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Finding the Fourth Proportional to 16,074.80, 22,175.83 and 10,411.44

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Solution

The fourth proportional to 16,074.80, 22,175.83 and 10,411.44 is: 14,362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.80 : 22,175.83 = 10,411.44 : x
  2. Step 2: Convert to fraction form
    16,074.80/22,175.83 = 10,411.44/x
  3. Step 3: Cross multiply
    16,074.80x = 22,175.83 × 10,411.44
  4. Step 4: Simplify right side
    16,074.80x = 230,882,194.79
  5. Step 5: Solve for x
    x = 230,882,194.79/16,074.80
  6. Step 6: Final answer
    x = 14,362.99

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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.