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Finding the Fourth Proportional to 17,122.36, 25,687.48 and 7,262.02

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Solution

The fourth proportional to 17,122.36, 25,687.48 and 7,262.02 is: 10,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,122.36 : 25,687.48 = 7,262.02 : x
  2. Step 2: Convert to fraction form
    17,122.36/25,687.48 = 7,262.02/x
  3. Step 3: Cross multiply
    17,122.36x = 25,687.48 × 7,262.02
  4. Step 4: Simplify right side
    17,122.36x = 186,542,993.51
  5. Step 5: Solve for x
    x = 186,542,993.51/17,122.36
  6. Step 6: Final answer
    x = 10,894.70

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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.