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Finding the Fourth Proportional to 17,267.56, 25,883.91 and 6,731

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Solution

The fourth proportional to 17,267.56, 25,883.91 and 6,731 is: 10,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,267.56 : 25,883.91 = 6,731 : x
  2. Step 2: Convert to fraction form
    17,267.56/25,883.91 = 6,731/x
  3. Step 3: Cross multiply
    17,267.56x = 25,883.91 × 6,731
  4. Step 4: Simplify right side
    17,267.56x = 174,224,598.21
  5. Step 5: Solve for x
    x = 174,224,598.21/17,267.56
  6. Step 6: Final answer
    x = 10,089.71

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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.