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Finding the Fourth Proportional to 12,185.99, 18,278.91 and 3,420.91

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Solution

The fourth proportional to 12,185.99, 18,278.91 and 3,420.91 is: 5,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.99 : 18,278.91 = 3,420.91 : x
  2. Step 2: Convert to fraction form
    12,185.99/18,278.91 = 3,420.91/x
  3. Step 3: Cross multiply
    12,185.99x = 18,278.91 × 3,420.91
  4. Step 4: Simplify right side
    12,185.99x = 62,530,506.01
  5. Step 5: Solve for x
    x = 62,530,506.01/12,185.99
  6. Step 6: Final answer
    x = 5,131.34

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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.