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Finding the Fourth Proportional to 13,351.83, 20,035.98 and 6,782.73

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Solution

The fourth proportional to 13,351.83, 20,035.98 and 6,782.73 is: 10,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,351.83 : 20,035.98 = 6,782.73 : x
  2. Step 2: Convert to fraction form
    13,351.83/20,035.98 = 6,782.73/x
  3. Step 3: Cross multiply
    13,351.83x = 20,035.98 × 6,782.73
  4. Step 4: Simplify right side
    13,351.83x = 135,898,642.63
  5. Step 5: Solve for x
    x = 135,898,642.63/13,351.83
  6. Step 6: Final answer
    x = 10,178.28

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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.