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Finding the Fourth Proportional to 11,817.94, 17,729.55 and 4,422.46

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Solution

The fourth proportional to 11,817.94, 17,729.55 and 4,422.46 is: 6,634.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.94 : 17,729.55 = 4,422.46 : x
  2. Step 2: Convert to fraction form
    11,817.94/17,729.55 = 4,422.46/x
  3. Step 3: Cross multiply
    11,817.94x = 17,729.55 × 4,422.46
  4. Step 4: Simplify right side
    11,817.94x = 78,408,225.69
  5. Step 5: Solve for x
    x = 78,408,225.69/11,817.94
  6. Step 6: Final answer
    x = 6,634.68

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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.