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Finding the Fourth Proportional to 12,298.96, 16,974.12 and 11,249.20

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Solution

The fourth proportional to 12,298.96, 16,974.12 and 11,249.20 is: 15,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.96 : 16,974.12 = 11,249.20 : x
  2. Step 2: Convert to fraction form
    12,298.96/16,974.12 = 11,249.20/x
  3. Step 3: Cross multiply
    12,298.96x = 16,974.12 × 11,249.20
  4. Step 4: Simplify right side
    12,298.96x = 190,945,270.70
  5. Step 5: Solve for x
    x = 190,945,270.70/12,298.96
  6. Step 6: Final answer
    x = 15,525.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.