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Finding the Fourth Proportional to 13,768.93, 18,994.92 and 8,461.81

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Solution

The fourth proportional to 13,768.93, 18,994.92 and 8,461.81 is: 11,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.93 : 18,994.92 = 8,461.81 : x
  2. Step 2: Convert to fraction form
    13,768.93/18,994.92 = 8,461.81/x
  3. Step 3: Cross multiply
    13,768.93x = 18,994.92 × 8,461.81
  4. Step 4: Simplify right side
    13,768.93x = 160,731,309.03
  5. Step 5: Solve for x
    x = 160,731,309.03/13,768.93
  6. Step 6: Final answer
    x = 11,673.48

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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.