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Finding the Fourth Proportional to 12,992.92, 19,491.42 and 4,225.78

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Solution

The fourth proportional to 12,992.92, 19,491.42 and 4,225.78 is: 6,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.92 : 19,491.42 = 4,225.78 : x
  2. Step 2: Convert to fraction form
    12,992.92/19,491.42 = 4,225.78/x
  3. Step 3: Cross multiply
    12,992.92x = 19,491.42 × 4,225.78
  4. Step 4: Simplify right side
    12,992.92x = 82,366,452.81
  5. Step 5: Solve for x
    x = 82,366,452.81/12,992.92
  6. Step 6: Final answer
    x = 6,339.33

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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.