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Finding the Fourth Proportional to 12,257.87, 16,915.23 and 6,954.39

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Solution

The fourth proportional to 12,257.87, 16,915.23 and 6,954.39 is: 9,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.87 : 16,915.23 = 6,954.39 : x
  2. Step 2: Convert to fraction form
    12,257.87/16,915.23 = 6,954.39/x
  3. Step 3: Cross multiply
    12,257.87x = 16,915.23 × 6,954.39
  4. Step 4: Simplify right side
    12,257.87x = 117,635,106.36
  5. Step 5: Solve for x
    x = 117,635,106.36/12,257.87
  6. Step 6: Final answer
    x = 9,596.70

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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.