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Finding the Fourth Proportional to 26,824, 40,201.44 and 19,842.88

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Solution

The fourth proportional to 26,824, 40,201.44 and 19,842.88 is: 29,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,824 : 40,201.44 = 19,842.88 : x
  2. Step 2: Convert to fraction form
    26,824/40,201.44 = 19,842.88/x
  3. Step 3: Cross multiply
    26,824x = 40,201.44 × 19,842.88
  4. Step 4: Simplify right side
    26,824x = 797,712,349.75
  5. Step 5: Solve for x
    x = 797,712,349.75/26,824
  6. Step 6: Final answer
    x = 29,738.75

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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.