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Finding the Fourth Proportional to 13,180.43, 19,768.43 and 5,782.90

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Solution

The fourth proportional to 13,180.43, 19,768.43 and 5,782.90 is: 8,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180.43 : 19,768.43 = 5,782.90 : x
  2. Step 2: Convert to fraction form
    13,180.43/19,768.43 = 5,782.90/x
  3. Step 3: Cross multiply
    13,180.43x = 19,768.43 × 5,782.90
  4. Step 4: Simplify right side
    13,180.43x = 114,318,853.85
  5. Step 5: Solve for x
    x = 114,318,853.85/13,180.43
  6. Step 6: Final answer
    x = 8,673.38

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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.