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Finding the Fourth Proportional to 17,292.81, 25,923.27 and 6,770

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Solution

The fourth proportional to 17,292.81, 25,923.27 and 6,770 is: 10,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,292.81 : 25,923.27 = 6,770 : x
  2. Step 2: Convert to fraction form
    17,292.81/25,923.27 = 6,770/x
  3. Step 3: Cross multiply
    17,292.81x = 25,923.27 × 6,770
  4. Step 4: Simplify right side
    17,292.81x = 175,500,537.90
  5. Step 5: Solve for x
    x = 175,500,537.90/17,292.81
  6. Step 6: Final answer
    x = 10,148.76

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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.