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Finding the Fourth Proportional to 26,419.89, 39,629.26 and 6,429.47

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Solution

The fourth proportional to 26,419.89, 39,629.26 and 6,429.47 is: 9,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,419.89 : 39,629.26 = 6,429.47 : x
  2. Step 2: Convert to fraction form
    26,419.89/39,629.26 = 6,429.47/x
  3. Step 3: Cross multiply
    26,419.89x = 39,629.26 × 6,429.47
  4. Step 4: Simplify right side
    26,419.89x = 254,795,221.29
  5. Step 5: Solve for x
    x = 254,795,221.29/26,419.89
  6. Step 6: Final answer
    x = 9,644.07

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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.