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Finding the Fourth Proportional to 12,914.26, 19,374.62 and 3,680.26

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Solution

The fourth proportional to 12,914.26, 19,374.62 and 3,680.26 is: 5,521.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.26 : 19,374.62 = 3,680.26 : x
  2. Step 2: Convert to fraction form
    12,914.26/19,374.62 = 3,680.26/x
  3. Step 3: Cross multiply
    12,914.26x = 19,374.62 × 3,680.26
  4. Step 4: Simplify right side
    12,914.26x = 71,303,639.00
  5. Step 5: Solve for x
    x = 71,303,639.00/12,914.26
  6. Step 6: Final answer
    x = 5,521.31

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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.