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Finding the Fourth Proportional to 18,397.70, 27,571.50 and 9,614.42

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Solution

The fourth proportional to 18,397.70, 27,571.50 and 9,614.42 is: 14,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,397.70 : 27,571.50 = 9,614.42 : x
  2. Step 2: Convert to fraction form
    18,397.70/27,571.50 = 9,614.42/x
  3. Step 3: Cross multiply
    18,397.70x = 27,571.50 × 9,614.42
  4. Step 4: Simplify right side
    18,397.70x = 265,083,981.03
  5. Step 5: Solve for x
    x = 265,083,981.03/18,397.70
  6. Step 6: Final answer
    x = 14,408.54

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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.