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Finding the Fourth Proportional to 12,828.66, 19,249.14 and 5,813.64

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Solution

The fourth proportional to 12,828.66, 19,249.14 and 5,813.64 is: 8,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.66 : 19,249.14 = 5,813.64 : x
  2. Step 2: Convert to fraction form
    12,828.66/19,249.14 = 5,813.64/x
  3. Step 3: Cross multiply
    12,828.66x = 19,249.14 × 5,813.64
  4. Step 4: Simplify right side
    12,828.66x = 111,907,570.27
  5. Step 5: Solve for x
    x = 111,907,570.27/12,828.66
  6. Step 6: Final answer
    x = 8,723.25

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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.