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Finding the Fourth Proportional to 25,673.70, 38,511.09 and 8,143.68

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Solution

The fourth proportional to 25,673.70, 38,511.09 and 8,143.68 is: 12,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,673.70 : 38,511.09 = 8,143.68 : x
  2. Step 2: Convert to fraction form
    25,673.70/38,511.09 = 8,143.68/x
  3. Step 3: Cross multiply
    25,673.70x = 38,511.09 × 8,143.68
  4. Step 4: Simplify right side
    25,673.70x = 313,621,993.41
  5. Step 5: Solve for x
    x = 313,621,993.41/25,673.70
  6. Step 6: Final answer
    x = 12,215.69

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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.