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Finding the Fourth Proportional to 13,828.50, 20,709.81 and 7,967.34

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Solution

The fourth proportional to 13,828.50, 20,709.81 and 7,967.34 is: 11,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.50 : 20,709.81 = 7,967.34 : x
  2. Step 2: Convert to fraction form
    13,828.50/20,709.81 = 7,967.34/x
  3. Step 3: Cross multiply
    13,828.50x = 20,709.81 × 7,967.34
  4. Step 4: Simplify right side
    13,828.50x = 165,002,097.61
  5. Step 5: Solve for x
    x = 165,002,097.61/13,828.50
  6. Step 6: Final answer
    x = 11,932.03

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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.