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Finding the Fourth Proportional to 26,996.98, 40,495.52 and 13,842.16

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Solution

The fourth proportional to 26,996.98, 40,495.52 and 13,842.16 is: 20,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,996.98 : 40,495.52 = 13,842.16 : x
  2. Step 2: Convert to fraction form
    26,996.98/40,495.52 = 13,842.16/x
  3. Step 3: Cross multiply
    26,996.98x = 40,495.52 × 13,842.16
  4. Step 4: Simplify right side
    26,996.98x = 560,545,467.12
  5. Step 5: Solve for x
    x = 560,545,467.12/26,996.98
  6. Step 6: Final answer
    x = 20,763.27

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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.