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Finding the Fourth Proportional to 12,785.25, 19,171.83 and 4,464.27

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Solution

The fourth proportional to 12,785.25, 19,171.83 and 4,464.27 is: 6,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.25 : 19,171.83 = 4,464.27 : x
  2. Step 2: Convert to fraction form
    12,785.25/19,171.83 = 4,464.27/x
  3. Step 3: Cross multiply
    12,785.25x = 19,171.83 × 4,464.27
  4. Step 4: Simplify right side
    12,785.25x = 85,588,225.51
  5. Step 5: Solve for x
    x = 85,588,225.51/12,785.25
  6. Step 6: Final answer
    x = 6,694.29

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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.