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Finding the Fourth Proportional to 24,022.26, 36,033.40 and 7,606.26

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Solution

The fourth proportional to 24,022.26, 36,033.40 and 7,606.26 is: 11,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,022.26 : 36,033.40 = 7,606.26 : x
  2. Step 2: Convert to fraction form
    24,022.26/36,033.40 = 7,606.26/x
  3. Step 3: Cross multiply
    24,022.26x = 36,033.40 × 7,606.26
  4. Step 4: Simplify right side
    24,022.26x = 274,079,409.08
  5. Step 5: Solve for x
    x = 274,079,409.08/24,022.26
  6. Step 6: Final answer
    x = 11,409.39

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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.