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Finding the Fourth Proportional to 12,794.14, 19,189.69 and 4,473.52

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Solution

The fourth proportional to 12,794.14, 19,189.69 and 4,473.52 is: 6,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.14 : 19,189.69 = 4,473.52 : x
  2. Step 2: Convert to fraction form
    12,794.14/19,189.69 = 4,473.52/x
  3. Step 3: Cross multiply
    12,794.14x = 19,189.69 × 4,473.52
  4. Step 4: Simplify right side
    12,794.14x = 85,845,462.01
  5. Step 5: Solve for x
    x = 85,845,462.01/12,794.14
  6. Step 6: Final answer
    x = 6,709.75

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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.