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Finding the Fourth Proportional to 14,087.82, 19,440.91 and 8,119.14

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Solution

The fourth proportional to 14,087.82, 19,440.91 and 8,119.14 is: 11,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,087.82 : 19,440.91 = 8,119.14 : x
  2. Step 2: Convert to fraction form
    14,087.82/19,440.91 = 8,119.14/x
  3. Step 3: Cross multiply
    14,087.82x = 19,440.91 × 8,119.14
  4. Step 4: Simplify right side
    14,087.82x = 157,843,407.26
  5. Step 5: Solve for x
    x = 157,843,407.26/14,087.82
  6. Step 6: Final answer
    x = 11,204.24

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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.