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Finding the Fourth Proportional to 17,275, 23,839.50 and 9,823

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Solution

The fourth proportional to 17,275, 23,839.50 and 9,823 is: 13,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,275 : 23,839.50 = 9,823 : x
  2. Step 2: Convert to fraction form
    17,275/23,839.50 = 9,823/x
  3. Step 3: Cross multiply
    17,275x = 23,839.50 × 9,823
  4. Step 4: Simplify right side
    17,275x = 234,175,408.50
  5. Step 5: Solve for x
    x = 234,175,408.50/17,275
  6. Step 6: Final answer
    x = 13,555.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.