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Finding the Fourth Proportional to 14,529, 20,046.96 and 9,500.60

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Solution

The fourth proportional to 14,529, 20,046.96 and 9,500.60 is: 13,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,529 : 20,046.96 = 9,500.60 : x
  2. Step 2: Convert to fraction form
    14,529/20,046.96 = 9,500.60/x
  3. Step 3: Cross multiply
    14,529x = 20,046.96 × 9,500.60
  4. Step 4: Simplify right side
    14,529x = 190,458,148.18
  5. Step 5: Solve for x
    x = 190,458,148.18/14,529
  6. Step 6: Final answer
    x = 13,108.83

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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.