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Finding the Fourth Proportional to 25,644.39, 38,467.95 and 8,112.87

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Solution

The fourth proportional to 25,644.39, 38,467.95 and 8,112.87 is: 12,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,644.39 : 38,467.95 = 8,112.87 : x
  2. Step 2: Convert to fraction form
    25,644.39/38,467.95 = 8,112.87/x
  3. Step 3: Cross multiply
    25,644.39x = 38,467.95 × 8,112.87
  4. Step 4: Simplify right side
    25,644.39x = 312,085,477.52
  5. Step 5: Solve for x
    x = 312,085,477.52/25,644.39
  6. Step 6: Final answer
    x = 12,169.74

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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.