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Finding the Fourth Proportional to 14,538.66, 20,064 and 8,251.62

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Solution

The fourth proportional to 14,538.66, 20,064 and 8,251.62 is: 11,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.66 : 20,064 = 8,251.62 : x
  2. Step 2: Convert to fraction form
    14,538.66/20,064 = 8,251.62/x
  3. Step 3: Cross multiply
    14,538.66x = 20,064 × 8,251.62
  4. Step 4: Simplify right side
    14,538.66x = 165,560,503.68
  5. Step 5: Solve for x
    x = 165,560,503.68/14,538.66
  6. Step 6: Final answer
    x = 11,387.60

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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.