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Finding the Fourth Proportional to 13,665.89, 20,498.86 and 3,805.18

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Solution

The fourth proportional to 13,665.89, 20,498.86 and 3,805.18 is: 5,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.89 : 20,498.86 = 3,805.18 : x
  2. Step 2: Convert to fraction form
    13,665.89/20,498.86 = 3,805.18/x
  3. Step 3: Cross multiply
    13,665.89x = 20,498.86 × 3,805.18
  4. Step 4: Simplify right side
    13,665.89x = 78,001,852.09
  5. Step 5: Solve for x
    x = 78,001,852.09/13,665.89
  6. Step 6: Final answer
    x = 5,707.78

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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.