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Finding the Fourth Proportional to 12,975.39, 19,450.65 and 8,282.16

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Solution

The fourth proportional to 12,975.39, 19,450.65 and 8,282.16 is: 12,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.39 : 19,450.65 = 8,282.16 : x
  2. Step 2: Convert to fraction form
    12,975.39/19,450.65 = 8,282.16/x
  3. Step 3: Cross multiply
    12,975.39x = 19,450.65 × 8,282.16
  4. Step 4: Simplify right side
    12,975.39x = 161,093,395.40
  5. Step 5: Solve for x
    x = 161,093,395.40/12,975.39
  6. Step 6: Final answer
    x = 12,415.30

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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.