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Finding the Fourth Proportional to 17,028.06, 25,537.23 and 7,165.50

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Solution

The fourth proportional to 17,028.06, 25,537.23 and 7,165.50 is: 10,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,028.06 : 25,537.23 = 7,165.50 : x
  2. Step 2: Convert to fraction form
    17,028.06/25,537.23 = 7,165.50/x
  3. Step 3: Cross multiply
    17,028.06x = 25,537.23 × 7,165.50
  4. Step 4: Simplify right side
    17,028.06x = 182,987,021.57
  5. Step 5: Solve for x
    x = 182,987,021.57/17,028.06
  6. Step 6: Final answer
    x = 10,746.20

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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.