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Finding the Fourth Proportional to 16,297.26, 24,443.86 and 5,205.12

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Solution

The fourth proportional to 16,297.26, 24,443.86 and 5,205.12 is: 7,807.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.26 : 24,443.86 = 5,205.12 : x
  2. Step 2: Convert to fraction form
    16,297.26/24,443.86 = 5,205.12/x
  3. Step 3: Cross multiply
    16,297.26x = 24,443.86 × 5,205.12
  4. Step 4: Simplify right side
    16,297.26x = 127,233,224.56
  5. Step 5: Solve for x
    x = 127,233,224.56/16,297.26
  6. Step 6: Final answer
    x = 7,807.03

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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.