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Finding the Fourth Proportional to 13,713.68, 18,924.75 and 7,745.22

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Solution

The fourth proportional to 13,713.68, 18,924.75 and 7,745.22 is: 10,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.68 : 18,924.75 = 7,745.22 : x
  2. Step 2: Convert to fraction form
    13,713.68/18,924.75 = 7,745.22/x
  3. Step 3: Cross multiply
    13,713.68x = 18,924.75 × 7,745.22
  4. Step 4: Simplify right side
    13,713.68x = 146,576,352.20
  5. Step 5: Solve for x
    x = 146,576,352.20/13,713.68
  6. Step 6: Final answer
    x = 10,688.33

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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.