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Finding the Fourth Proportional to 16,219.14, 24,338.32 and 6,858.66

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Solution

The fourth proportional to 16,219.14, 24,338.32 and 6,858.66 is: 10,292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.14 : 24,338.32 = 6,858.66 : x
  2. Step 2: Convert to fraction form
    16,219.14/24,338.32 = 6,858.66/x
  3. Step 3: Cross multiply
    16,219.14x = 24,338.32 × 6,858.66
  4. Step 4: Simplify right side
    16,219.14x = 166,928,261.85
  5. Step 5: Solve for x
    x = 166,928,261.85/16,219.14
  6. Step 6: Final answer
    x = 10,292.05

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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.