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Finding the Fourth Proportional to 17,271.35, 23,828.49 and 9,716.48

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Solution

The fourth proportional to 17,271.35, 23,828.49 and 9,716.48 is: 13,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,271.35 : 23,828.49 = 9,716.48 : x
  2. Step 2: Convert to fraction form
    17,271.35/23,828.49 = 9,716.48/x
  3. Step 3: Cross multiply
    17,271.35x = 23,828.49 × 9,716.48
  4. Step 4: Simplify right side
    17,271.35x = 231,529,106.09
  5. Step 5: Solve for x
    x = 231,529,106.09/17,271.35
  6. Step 6: Final answer
    x = 13,405.38

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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.