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Finding the Fourth Proportional to 13,150.17, 19,729.89 and 8,214.03

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Solution

The fourth proportional to 13,150.17, 19,729.89 and 8,214.03 is: 12,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,150.17 : 19,729.89 = 8,214.03 : x
  2. Step 2: Convert to fraction form
    13,150.17/19,729.89 = 8,214.03/x
  3. Step 3: Cross multiply
    13,150.17x = 19,729.89 × 8,214.03
  4. Step 4: Simplify right side
    13,150.17x = 162,061,908.36
  5. Step 5: Solve for x
    x = 162,061,908.36/13,150.17
  6. Step 6: Final answer
    x = 12,323.94

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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.