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Finding the Fourth Proportional to 30,707.40, 46,085.40 and 11,996.40

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Solution

The fourth proportional to 30,707.40, 46,085.40 and 11,996.40 is: 18,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,707.40 : 46,085.40 = 11,996.40 : x
  2. Step 2: Convert to fraction form
    30,707.40/46,085.40 = 11,996.40/x
  3. Step 3: Cross multiply
    30,707.40x = 46,085.40 × 11,996.40
  4. Step 4: Simplify right side
    30,707.40x = 552,858,892.56
  5. Step 5: Solve for x
    x = 552,858,892.56/30,707.40
  6. Step 6: Final answer
    x = 18,004.09

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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.