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Finding the Fourth Proportional to 12,884.06, 19,326.09 and 3,650.06

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Solution

The fourth proportional to 12,884.06, 19,326.09 and 3,650.06 is: 5,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.06 : 19,326.09 = 3,650.06 : x
  2. Step 2: Convert to fraction form
    12,884.06/19,326.09 = 3,650.06/x
  3. Step 3: Cross multiply
    12,884.06x = 19,326.09 × 3,650.06
  4. Step 4: Simplify right side
    12,884.06x = 70,541,450.07
  5. Step 5: Solve for x
    x = 70,541,450.07/12,884.06
  6. Step 6: Final answer
    x = 5,475.09

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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.