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Finding the Fourth Proportional to 14,331.84, 19,778.09 and 7,958.57

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Solution

The fourth proportional to 14,331.84, 19,778.09 and 7,958.57 is: 10,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.84 : 19,778.09 = 7,958.57 : x
  2. Step 2: Convert to fraction form
    14,331.84/19,778.09 = 7,958.57/x
  3. Step 3: Cross multiply
    14,331.84x = 19,778.09 × 7,958.57
  4. Step 4: Simplify right side
    14,331.84x = 157,405,175.05
  5. Step 5: Solve for x
    x = 157,405,175.05/14,331.84
  6. Step 6: Final answer
    x = 10,982.90

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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.