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Finding the Fourth Proportional to 17,317.36, 25,974.42 and 7,454.80

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Solution

The fourth proportional to 17,317.36, 25,974.42 and 7,454.80 is: 11,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,317.36 : 25,974.42 = 7,454.80 : x
  2. Step 2: Convert to fraction form
    17,317.36/25,974.42 = 7,454.80/x
  3. Step 3: Cross multiply
    17,317.36x = 25,974.42 × 7,454.80
  4. Step 4: Simplify right side
    17,317.36x = 193,634,106.22
  5. Step 5: Solve for x
    x = 193,634,106.22/17,317.36
  6. Step 6: Final answer
    x = 11,181.50

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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.