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Finding the Fourth Proportional to 11,814.95, 17,722.78 and 3,049.88

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Solution

The fourth proportional to 11,814.95, 17,722.78 and 3,049.88 is: 4,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.95 : 17,722.78 = 3,049.88 : x
  2. Step 2: Convert to fraction form
    11,814.95/17,722.78 = 3,049.88/x
  3. Step 3: Cross multiply
    11,814.95x = 17,722.78 × 3,049.88
  4. Step 4: Simplify right side
    11,814.95x = 54,052,256.03
  5. Step 5: Solve for x
    x = 54,052,256.03/11,814.95
  6. Step 6: Final answer
    x = 4,574.90

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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.