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Finding the Fourth Proportional to 17,242.34, 25,858.74 and 4,759.44

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Solution

The fourth proportional to 17,242.34, 25,858.74 and 4,759.44 is: 7,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,242.34 : 25,858.74 = 4,759.44 : x
  2. Step 2: Convert to fraction form
    17,242.34/25,858.74 = 4,759.44/x
  3. Step 3: Cross multiply
    17,242.34x = 25,858.74 × 4,759.44
  4. Step 4: Simplify right side
    17,242.34x = 123,073,121.51
  5. Step 5: Solve for x
    x = 123,073,121.51/17,242.34
  6. Step 6: Final answer
    x = 7,137.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.