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Finding the Fourth Proportional to 13,086.96, 18,054.12 and 7,778.88

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Solution

The fourth proportional to 13,086.96, 18,054.12 and 7,778.88 is: 10,731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.96 : 18,054.12 = 7,778.88 : x
  2. Step 2: Convert to fraction form
    13,086.96/18,054.12 = 7,778.88/x
  3. Step 3: Cross multiply
    13,086.96x = 18,054.12 × 7,778.88
  4. Step 4: Simplify right side
    13,086.96x = 140,440,832.99
  5. Step 5: Solve for x
    x = 140,440,832.99/13,086.96
  6. Step 6: Final answer
    x = 10,731.36

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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.