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Finding the Fourth Proportional to 12,257.42, 16,915.20 and 6,668.42

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Solution

The fourth proportional to 12,257.42, 16,915.20 and 6,668.42 is: 9,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.42 : 16,915.20 = 6,668.42 : x
  2. Step 2: Convert to fraction form
    12,257.42/16,915.20 = 6,668.42/x
  3. Step 3: Cross multiply
    12,257.42x = 16,915.20 × 6,668.42
  4. Step 4: Simplify right side
    12,257.42x = 112,797,657.98
  5. Step 5: Solve for x
    x = 112,797,657.98/12,257.42
  6. Step 6: Final answer
    x = 9,202.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.