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Finding the Fourth Proportional to 12,580.53, 18,872.73 and 3,813.36

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Solution

The fourth proportional to 12,580.53, 18,872.73 and 3,813.36 is: 5,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.53 : 18,872.73 = 3,813.36 : x
  2. Step 2: Convert to fraction form
    12,580.53/18,872.73 = 3,813.36/x
  3. Step 3: Cross multiply
    12,580.53x = 18,872.73 × 3,813.36
  4. Step 4: Simplify right side
    12,580.53x = 71,968,513.67
  5. Step 5: Solve for x
    x = 71,968,513.67/12,580.53
  6. Step 6: Final answer
    x = 5,720.63

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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.