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Finding the Fourth Proportional to 12,313.92, 18,468.66 and 3,546.68

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Solution

The fourth proportional to 12,313.92, 18,468.66 and 3,546.68 is: 5,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.92 : 18,468.66 = 3,546.68 : x
  2. Step 2: Convert to fraction form
    12,313.92/18,468.66 = 3,546.68/x
  3. Step 3: Cross multiply
    12,313.92x = 18,468.66 × 3,546.68
  4. Step 4: Simplify right side
    12,313.92x = 65,502,427.05
  5. Step 5: Solve for x
    x = 65,502,427.05/12,313.92
  6. Step 6: Final answer
    x = 5,319.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.