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Finding the Fourth Proportional to 16,220.14, 24,326.53 and 7,446.62

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Solution

The fourth proportional to 16,220.14, 24,326.53 and 7,446.62 is: 11,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.14 : 24,326.53 = 7,446.62 : x
  2. Step 2: Convert to fraction form
    16,220.14/24,326.53 = 7,446.62/x
  3. Step 3: Cross multiply
    16,220.14x = 24,326.53 × 7,446.62
  4. Step 4: Simplify right side
    16,220.14x = 181,150,467.03
  5. Step 5: Solve for x
    x = 181,150,467.03/16,220.14
  6. Step 6: Final answer
    x = 11,168.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.