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Finding the Fourth Proportional to 13,727.93, 18,945.63 and 8,424.45

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Solution

The fourth proportional to 13,727.93, 18,945.63 and 8,424.45 is: 11,626.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,727.93 : 18,945.63 = 8,424.45 : x
  2. Step 2: Convert to fraction form
    13,727.93/18,945.63 = 8,424.45/x
  3. Step 3: Cross multiply
    13,727.93x = 18,945.63 × 8,424.45
  4. Step 4: Simplify right side
    13,727.93x = 159,606,512.65
  5. Step 5: Solve for x
    x = 159,606,512.65/13,727.93
  6. Step 6: Final answer
    x = 11,626.41

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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.