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Finding the Fourth Proportional to 16,224.26, 24,332.72 and 7,450.74

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Solution

The fourth proportional to 16,224.26, 24,332.72 and 7,450.74 is: 11,174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.26 : 24,332.72 = 7,450.74 : x
  2. Step 2: Convert to fraction form
    16,224.26/24,332.72 = 7,450.74/x
  3. Step 3: Cross multiply
    16,224.26x = 24,332.72 × 7,450.74
  4. Step 4: Simplify right side
    16,224.26x = 181,296,770.21
  5. Step 5: Solve for x
    x = 181,296,770.21/16,224.26
  6. Step 6: Final answer
    x = 11,174.42

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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.