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Finding the Fourth Proportional to 25,616.08, 38,428.80 and 8,090.80

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Solution

The fourth proportional to 25,616.08, 38,428.80 and 8,090.80 is: 12,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,616.08 : 38,428.80 = 8,090.80 : x
  2. Step 2: Convert to fraction form
    25,616.08/38,428.80 = 8,090.80/x
  3. Step 3: Cross multiply
    25,616.08x = 38,428.80 × 8,090.80
  4. Step 4: Simplify right side
    25,616.08x = 310,919,735.04
  5. Step 5: Solve for x
    x = 310,919,735.04/25,616.08
  6. Step 6: Final answer
    x = 12,137.68

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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.