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Finding the Fourth Proportional to 26,419.20, 39,628.80 and 19,420.80

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Solution

The fourth proportional to 26,419.20, 39,628.80 and 19,420.80 is: 29,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,419.20 : 39,628.80 = 19,420.80 : x
  2. Step 2: Convert to fraction form
    26,419.20/39,628.80 = 19,420.80/x
  3. Step 3: Cross multiply
    26,419.20x = 39,628.80 × 19,420.80
  4. Step 4: Simplify right side
    26,419.20x = 769,622,999.04
  5. Step 5: Solve for x
    x = 769,622,999.04/26,419.20
  6. Step 6: Final answer
    x = 29,131.20

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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.