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Finding the Fourth Proportional to 13,105.41, 19,656.75 and 3,744.82

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Solution

The fourth proportional to 13,105.41, 19,656.75 and 3,744.82 is: 5,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.41 : 19,656.75 = 3,744.82 : x
  2. Step 2: Convert to fraction form
    13,105.41/19,656.75 = 3,744.82/x
  3. Step 3: Cross multiply
    13,105.41x = 19,656.75 × 3,744.82
  4. Step 4: Simplify right side
    13,105.41x = 73,610,990.54
  5. Step 5: Solve for x
    x = 73,610,990.54/13,105.41
  6. Step 6: Final answer
    x = 5,616.84

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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.