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Finding the Fourth Proportional to 18,138.17, 27,190.86 and 6,448.67

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Solution

The fourth proportional to 18,138.17, 27,190.86 and 6,448.67 is: 9,667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,138.17 : 27,190.86 = 6,448.67 : x
  2. Step 2: Convert to fraction form
    18,138.17/27,190.86 = 6,448.67/x
  3. Step 3: Cross multiply
    18,138.17x = 27,190.86 × 6,448.67
  4. Step 4: Simplify right side
    18,138.17x = 175,344,883.16
  5. Step 5: Solve for x
    x = 175,344,883.16/18,138.17
  6. Step 6: Final answer
    x = 9,667.18

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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.