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Finding the Fourth Proportional to 12,917.25, 19,376.06 and 3,683.25

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Solution

The fourth proportional to 12,917.25, 19,376.06 and 3,683.25 is: 5,524.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.25 : 19,376.06 = 3,683.25 : x
  2. Step 2: Convert to fraction form
    12,917.25/19,376.06 = 3,683.25/x
  3. Step 3: Cross multiply
    12,917.25x = 19,376.06 × 3,683.25
  4. Step 4: Simplify right side
    12,917.25x = 71,366,854.58
  5. Step 5: Solve for x
    x = 71,366,854.58/12,917.25
  6. Step 6: Final answer
    x = 5,524.93

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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.