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Finding the Fourth Proportional to 12,863.69, 19,295.33 and 4,098.54

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Solution

The fourth proportional to 12,863.69, 19,295.33 and 4,098.54 is: 6,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.69 : 19,295.33 = 4,098.54 : x
  2. Step 2: Convert to fraction form
    12,863.69/19,295.33 = 4,098.54/x
  3. Step 3: Cross multiply
    12,863.69x = 19,295.33 × 4,098.54
  4. Step 4: Simplify right side
    12,863.69x = 79,082,661.33
  5. Step 5: Solve for x
    x = 79,082,661.33/12,863.69
  6. Step 6: Final answer
    x = 6,147.75

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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.