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Finding the Fourth Proportional to 13,914.57, 19,197.30 and 7,864.08

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Solution

The fourth proportional to 13,914.57, 19,197.30 and 7,864.08 is: 10,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.57 : 19,197.30 = 7,864.08 : x
  2. Step 2: Convert to fraction form
    13,914.57/19,197.30 = 7,864.08/x
  3. Step 3: Cross multiply
    13,914.57x = 19,197.30 × 7,864.08
  4. Step 4: Simplify right side
    13,914.57x = 150,969,102.98
  5. Step 5: Solve for x
    x = 150,969,102.98/13,914.57
  6. Step 6: Final answer
    x = 10,849.71

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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.