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Finding the Fourth Proportional to 16,220.46, 24,322.38 and 7,447.75

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Solution

The fourth proportional to 16,220.46, 24,322.38 and 7,447.75 is: 11,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.46 : 24,322.38 = 7,447.75 : x
  2. Step 2: Convert to fraction form
    16,220.46/24,322.38 = 7,447.75/x
  3. Step 3: Cross multiply
    16,220.46x = 24,322.38 × 7,447.75
  4. Step 4: Simplify right side
    16,220.46x = 181,147,005.65
  5. Step 5: Solve for x
    x = 181,147,005.65/16,220.46
  6. Step 6: Final answer
    x = 11,167.81

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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.