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Finding the Fourth Proportional to 13,682.45, 18,881.76 and 7,394.83

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Solution

The fourth proportional to 13,682.45, 18,881.76 and 7,394.83 is: 10,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.45 : 18,881.76 = 7,394.83 : x
  2. Step 2: Convert to fraction form
    13,682.45/18,881.76 = 7,394.83/x
  3. Step 3: Cross multiply
    13,682.45x = 18,881.76 × 7,394.83
  4. Step 4: Simplify right side
    13,682.45x = 139,627,405.30
  5. Step 5: Solve for x
    x = 139,627,405.30/13,682.45
  6. Step 6: Final answer
    x = 10,204.85

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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.