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Finding the Fourth Proportional to 30,313.81, 41,832 and 16,884.37

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Solution

The fourth proportional to 30,313.81, 41,832 and 16,884.37 is: 23,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,313.81 : 41,832 = 16,884.37 : x
  2. Step 2: Convert to fraction form
    30,313.81/41,832 = 16,884.37/x
  3. Step 3: Cross multiply
    30,313.81x = 41,832 × 16,884.37
  4. Step 4: Simplify right side
    30,313.81x = 706,306,965.84
  5. Step 5: Solve for x
    x = 706,306,965.84/30,313.81
  6. Step 6: Final answer
    x = 23,299.84

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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.