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Finding the Fourth Proportional to 13,706.96, 18,915.83 and 8,045.76

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Solution

The fourth proportional to 13,706.96, 18,915.83 and 8,045.76 is: 11,103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.96 : 18,915.83 = 8,045.76 : x
  2. Step 2: Convert to fraction form
    13,706.96/18,915.83 = 8,045.76/x
  3. Step 3: Cross multiply
    13,706.96x = 18,915.83 × 8,045.76
  4. Step 4: Simplify right side
    13,706.96x = 152,192,289.26
  5. Step 5: Solve for x
    x = 152,192,289.26/13,706.96
  6. Step 6: Final answer
    x = 11,103.29

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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.