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Finding the Fourth Proportional to 13,873.66, 19,144.15 and 8,208.62

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Solution

The fourth proportional to 13,873.66, 19,144.15 and 8,208.62 is: 11,327.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.66 : 19,144.15 = 8,208.62 : x
  2. Step 2: Convert to fraction form
    13,873.66/19,144.15 = 8,208.62/x
  3. Step 3: Cross multiply
    13,873.66x = 19,144.15 × 8,208.62
  4. Step 4: Simplify right side
    13,873.66x = 157,147,052.57
  5. Step 5: Solve for x
    x = 157,147,052.57/13,873.66
  6. Step 6: Final answer
    x = 11,327.01

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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.