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Finding the Fourth Proportional to 11,965.12, 17,919.84 and 11,549.84

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Solution

The fourth proportional to 11,965.12, 17,919.84 and 11,549.84 is: 17,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.12 : 17,919.84 = 11,549.84 : x
  2. Step 2: Convert to fraction form
    11,965.12/17,919.84 = 11,549.84/x
  3. Step 3: Cross multiply
    11,965.12x = 17,919.84 × 11,549.84
  4. Step 4: Simplify right side
    11,965.12x = 206,971,284.83
  5. Step 5: Solve for x
    x = 206,971,284.83/11,965.12
  6. Step 6: Final answer
    x = 17,297.89

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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.