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Finding the Fourth Proportional to 14,706.34, 20,288 and 8,734.62

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Solution

The fourth proportional to 14,706.34, 20,288 and 8,734.62 is: 12,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.34 : 20,288 = 8,734.62 : x
  2. Step 2: Convert to fraction form
    14,706.34/20,288 = 8,734.62/x
  3. Step 3: Cross multiply
    14,706.34x = 20,288 × 8,734.62
  4. Step 4: Simplify right side
    14,706.34x = 177,207,970.56
  5. Step 5: Solve for x
    x = 177,207,970.56/14,706.34
  6. Step 6: Final answer
    x = 12,049.77

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Why These Related Problems?

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