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Finding the Fourth Proportional to 13,990.82, 19,301.21 and 9,204.62

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Solution

The fourth proportional to 13,990.82, 19,301.21 and 9,204.62 is: 12,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,990.82 : 19,301.21 = 9,204.62 : x
  2. Step 2: Convert to fraction form
    13,990.82/19,301.21 = 9,204.62/x
  3. Step 3: Cross multiply
    13,990.82x = 19,301.21 × 9,204.62
  4. Step 4: Simplify right side
    13,990.82x = 177,660,161.06
  5. Step 5: Solve for x
    x = 177,660,161.06/13,990.82
  6. Step 6: Final answer
    x = 12,698.34

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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.