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Finding the Fourth Proportional to 12,530.37, 18,796.82 and 4,635

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Solution

The fourth proportional to 12,530.37, 18,796.82 and 4,635 is: 6,952.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.37 : 18,796.82 = 4,635 : x
  2. Step 2: Convert to fraction form
    12,530.37/18,796.82 = 4,635/x
  3. Step 3: Cross multiply
    12,530.37x = 18,796.82 × 4,635
  4. Step 4: Simplify right side
    12,530.37x = 87,123,237.53
  5. Step 5: Solve for x
    x = 87,123,237.53/12,530.37
  6. Step 6: Final answer
    x = 6,952.97

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