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Finding the Fourth Proportional to 13,414.35, 18,512.64 and 7,749.34

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Solution

The fourth proportional to 13,414.35, 18,512.64 and 7,749.34 is: 10,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.35 : 18,512.64 = 7,749.34 : x
  2. Step 2: Convert to fraction form
    13,414.35/18,512.64 = 7,749.34/x
  3. Step 3: Cross multiply
    13,414.35x = 18,512.64 × 7,749.34
  4. Step 4: Simplify right side
    13,414.35x = 143,460,717.17
  5. Step 5: Solve for x
    x = 143,460,717.17/13,414.35
  6. Step 6: Final answer
    x = 10,694.57

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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.