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Finding the Fourth Proportional to 12,683.44, 19,027.56 and 3,916.31

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Solution

The fourth proportional to 12,683.44, 19,027.56 and 3,916.31 is: 5,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.44 : 19,027.56 = 3,916.31 : x
  2. Step 2: Convert to fraction form
    12,683.44/19,027.56 = 3,916.31/x
  3. Step 3: Cross multiply
    12,683.44x = 19,027.56 × 3,916.31
  4. Step 4: Simplify right side
    12,683.44x = 74,517,823.50
  5. Step 5: Solve for x
    x = 74,517,823.50/12,683.44
  6. Step 6: Final answer
    x = 5,875.21

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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.