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Finding the Fourth Proportional to 25,274.58, 37,915.86 and 8,408.18

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Solution

The fourth proportional to 25,274.58, 37,915.86 and 8,408.18 is: 12,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,274.58 : 37,915.86 = 8,408.18 : x
  2. Step 2: Convert to fraction form
    25,274.58/37,915.86 = 8,408.18/x
  3. Step 3: Cross multiply
    25,274.58x = 37,915.86 × 8,408.18
  4. Step 4: Simplify right side
    25,274.58x = 318,803,375.73
  5. Step 5: Solve for x
    x = 318,803,375.73/25,274.58
  6. Step 6: Final answer
    x = 12,613.60

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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.