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Finding the Fourth Proportional to 17,486.58, 26,240.76 and 7,626

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Solution

The fourth proportional to 17,486.58, 26,240.76 and 7,626 is: 11,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,486.58 : 26,240.76 = 7,626 : x
  2. Step 2: Convert to fraction form
    17,486.58/26,240.76 = 7,626/x
  3. Step 3: Cross multiply
    17,486.58x = 26,240.76 × 7,626
  4. Step 4: Simplify right side
    17,486.58x = 200,112,035.76
  5. Step 5: Solve for x
    x = 200,112,035.76/17,486.58
  6. Step 6: Final answer
    x = 11,443.75

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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.