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Finding the Fourth Proportional to 13,313.82, 18,372.76 and 7,346.05

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Solution

The fourth proportional to 13,313.82, 18,372.76 and 7,346.05 is: 10,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,313.82 : 18,372.76 = 7,346.05 : x
  2. Step 2: Convert to fraction form
    13,313.82/18,372.76 = 7,346.05/x
  3. Step 3: Cross multiply
    13,313.82x = 18,372.76 × 7,346.05
  4. Step 4: Simplify right side
    13,313.82x = 134,967,213.60
  5. Step 5: Solve for x
    x = 134,967,213.60/13,313.82
  6. Step 6: Final answer
    x = 10,137.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.