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Finding the Fourth Proportional to 12,256.96, 16,915.52 and 6,951.84

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Solution

The fourth proportional to 12,256.96, 16,915.52 and 6,951.84 is: 9,594.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256.96 : 16,915.52 = 6,951.84 : x
  2. Step 2: Convert to fraction form
    12,256.96/16,915.52 = 6,951.84/x
  3. Step 3: Cross multiply
    12,256.96x = 16,915.52 × 6,951.84
  4. Step 4: Simplify right side
    12,256.96x = 117,593,988.56
  5. Step 5: Solve for x
    x = 117,593,988.56/12,256.96
  6. Step 6: Final answer
    x = 9,594.06

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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.