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Finding the Fourth Proportional to 12,049.37, 18,028.95 and 11,416.51

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Solution

The fourth proportional to 12,049.37, 18,028.95 and 11,416.51 is: 17,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.37 : 18,028.95 = 11,416.51 : x
  2. Step 2: Convert to fraction form
    12,049.37/18,028.95 = 11,416.51/x
  3. Step 3: Cross multiply
    12,049.37x = 18,028.95 × 11,416.51
  4. Step 4: Simplify right side
    12,049.37x = 205,827,687.96
  5. Step 5: Solve for x
    x = 205,827,687.96/12,049.37
  6. Step 6: Final answer
    x = 17,082.03

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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.