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Finding the Fourth Proportional to 19,805.85, 27,317.25 and 11,842.74

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Solution

The fourth proportional to 19,805.85, 27,317.25 and 11,842.74 is: 16,334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.85 : 27,317.25 = 11,842.74 : x
  2. Step 2: Convert to fraction form
    19,805.85/27,317.25 = 11,842.74/x
  3. Step 3: Cross multiply
    19,805.85x = 27,317.25 × 11,842.74
  4. Step 4: Simplify right side
    19,805.85x = 323,511,089.27
  5. Step 5: Solve for x
    x = 323,511,089.27/19,805.85
  6. Step 6: Final answer
    x = 16,334.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.