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Finding the Fourth Proportional to 25,638.08, 38,461.80 and 8,112.80

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Solution

The fourth proportional to 25,638.08, 38,461.80 and 8,112.80 is: 12,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,638.08 : 38,461.80 = 8,112.80 : x
  2. Step 2: Convert to fraction form
    25,638.08/38,461.80 = 8,112.80/x
  3. Step 3: Cross multiply
    25,638.08x = 38,461.80 × 8,112.80
  4. Step 4: Simplify right side
    25,638.08x = 312,032,891.04
  5. Step 5: Solve for x
    x = 312,032,891.04/25,638.08
  6. Step 6: Final answer
    x = 12,170.68

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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.