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Finding the Fourth Proportional to 13,782.92, 19,020.63 and 10,327.39

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Solution

The fourth proportional to 13,782.92, 19,020.63 and 10,327.39 is: 14,251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.92 : 19,020.63 = 10,327.39 : x
  2. Step 2: Convert to fraction form
    13,782.92/19,020.63 = 10,327.39/x
  3. Step 3: Cross multiply
    13,782.92x = 19,020.63 × 10,327.39
  4. Step 4: Simplify right side
    13,782.92x = 196,433,317.32
  5. Step 5: Solve for x
    x = 196,433,317.32/13,782.92
  6. Step 6: Final answer
    x = 14,251.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.