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Finding the Fourth Proportional to 25,185.60, 37,770.33 and 8,314.83

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Solution

The fourth proportional to 25,185.60, 37,770.33 and 8,314.83 is: 12,469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,185.60 : 37,770.33 = 8,314.83 : x
  2. Step 2: Convert to fraction form
    25,185.60/37,770.33 = 8,314.83/x
  3. Step 3: Cross multiply
    25,185.60x = 37,770.33 × 8,314.83
  4. Step 4: Simplify right side
    25,185.60x = 314,053,872.99
  5. Step 5: Solve for x
    x = 314,053,872.99/25,185.60
  6. Step 6: Final answer
    x = 12,469.58

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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.