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Finding the Fourth Proportional to 16,297.52, 24,443.10 and 5,201.24

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Solution

The fourth proportional to 16,297.52, 24,443.10 and 5,201.24 is: 7,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.52 : 24,443.10 = 5,201.24 : x
  2. Step 2: Convert to fraction form
    16,297.52/24,443.10 = 5,201.24/x
  3. Step 3: Cross multiply
    16,297.52x = 24,443.10 × 5,201.24
  4. Step 4: Simplify right side
    16,297.52x = 127,134,429.44
  5. Step 5: Solve for x
    x = 127,134,429.44/16,297.52
  6. Step 6: Final answer
    x = 7,800.85

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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.