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Finding the Fourth Proportional to 25,094.66, 37,634.06 and 8,450.80

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Solution

The fourth proportional to 25,094.66, 37,634.06 and 8,450.80 is: 12,673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,094.66 : 37,634.06 = 8,450.80 : x
  2. Step 2: Convert to fraction form
    25,094.66/37,634.06 = 8,450.80/x
  3. Step 3: Cross multiply
    25,094.66x = 37,634.06 × 8,450.80
  4. Step 4: Simplify right side
    25,094.66x = 318,037,914.25
  5. Step 5: Solve for x
    x = 318,037,914.25/25,094.66
  6. Step 6: Final answer
    x = 12,673.53

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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.