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Finding the Fourth Proportional to 16,311.14, 24,467.64 and 5,216.96

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Solution

The fourth proportional to 16,311.14, 24,467.64 and 5,216.96 is: 7,825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.14 : 24,467.64 = 5,216.96 : x
  2. Step 2: Convert to fraction form
    16,311.14/24,467.64 = 5,216.96/x
  3. Step 3: Cross multiply
    16,311.14x = 24,467.64 × 5,216.96
  4. Step 4: Simplify right side
    16,311.14x = 127,646,699.17
  5. Step 5: Solve for x
    x = 127,646,699.17/16,311.14
  6. Step 6: Final answer
    x = 7,825.74

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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.