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Finding the Fourth Proportional to 13,706.34, 18,915.21 and 8,327.85

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Solution

The fourth proportional to 13,706.34, 18,915.21 and 8,327.85 is: 11,492.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.34 : 18,915.21 = 8,327.85 : x
  2. Step 2: Convert to fraction form
    13,706.34/18,915.21 = 8,327.85/x
  3. Step 3: Cross multiply
    13,706.34x = 18,915.21 × 8,327.85
  4. Step 4: Simplify right side
    13,706.34x = 157,523,031.60
  5. Step 5: Solve for x
    x = 157,523,031.60/13,706.34
  6. Step 6: Final answer
    x = 11,492.71

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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.