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Finding the Fourth Proportional to 13,841.60, 20,766.02 and 4,956.62

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Solution

The fourth proportional to 13,841.60, 20,766.02 and 4,956.62 is: 7,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.60 : 20,766.02 = 4,956.62 : x
  2. Step 2: Convert to fraction form
    13,841.60/20,766.02 = 4,956.62/x
  3. Step 3: Cross multiply
    13,841.60x = 20,766.02 × 4,956.62
  4. Step 4: Simplify right side
    13,841.60x = 102,929,141.44
  5. Step 5: Solve for x
    x = 102,929,141.44/13,841.60
  6. Step 6: Final answer
    x = 7,436.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.