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Finding the Fourth Proportional to 25,641.20, 38,467.20 and 8,112.80

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Solution

The fourth proportional to 25,641.20, 38,467.20 and 8,112.80 is: 12,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,641.20 : 38,467.20 = 8,112.80 : x
  2. Step 2: Convert to fraction form
    25,641.20/38,467.20 = 8,112.80/x
  3. Step 3: Cross multiply
    25,641.20x = 38,467.20 × 8,112.80
  4. Step 4: Simplify right side
    25,641.20x = 312,076,700.16
  5. Step 5: Solve for x
    x = 312,076,700.16/25,641.20
  6. Step 6: Final answer
    x = 12,170.91

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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.