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Finding the Fourth Proportional to 20,809.40, 31,214.10 and 19,945.40

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Solution

The fourth proportional to 20,809.40, 31,214.10 and 19,945.40 is: 29,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.40 : 31,214.10 = 19,945.40 : x
  2. Step 2: Convert to fraction form
    20,809.40/31,214.10 = 19,945.40/x
  3. Step 3: Cross multiply
    20,809.40x = 31,214.10 × 19,945.40
  4. Step 4: Simplify right side
    20,809.40x = 622,577,710.14
  5. Step 5: Solve for x
    x = 622,577,710.14/20,809.40
  6. Step 6: Final answer
    x = 29,918.10

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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.