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Finding the Fourth Proportional to 12,266.84, 18,405.53 and 5,694.50

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Solution

The fourth proportional to 12,266.84, 18,405.53 and 5,694.50 is: 8,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.84 : 18,405.53 = 5,694.50 : x
  2. Step 2: Convert to fraction form
    12,266.84/18,405.53 = 5,694.50/x
  3. Step 3: Cross multiply
    12,266.84x = 18,405.53 × 5,694.50
  4. Step 4: Simplify right side
    12,266.84x = 104,810,170.08
  5. Step 5: Solve for x
    x = 104,810,170.08/12,266.84
  6. Step 6: Final answer
    x = 8,544.19

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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.