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Finding the Fourth Proportional to 13,682.30, 18,881.57 and 7,394.67

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Solution

The fourth proportional to 13,682.30, 18,881.57 and 7,394.67 is: 10,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.30 : 18,881.57 = 7,394.67 : x
  2. Step 2: Convert to fraction form
    13,682.30/18,881.57 = 7,394.67/x
  3. Step 3: Cross multiply
    13,682.30x = 18,881.57 × 7,394.67
  4. Step 4: Simplify right side
    13,682.30x = 139,622,997.72
  5. Step 5: Solve for x
    x = 139,622,997.72/13,682.30
  6. Step 6: Final answer
    x = 10,204.65

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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.