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Finding the Fourth Proportional to 17,766.75, 26,650.26 and 6,080.07

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Solution

The fourth proportional to 17,766.75, 26,650.26 and 6,080.07 is: 9,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.75 : 26,650.26 = 6,080.07 : x
  2. Step 2: Convert to fraction form
    17,766.75/26,650.26 = 6,080.07/x
  3. Step 3: Cross multiply
    17,766.75x = 26,650.26 × 6,080.07
  4. Step 4: Simplify right side
    17,766.75x = 162,035,446.32
  5. Step 5: Solve for x
    x = 162,035,446.32/17,766.75
  6. Step 6: Final answer
    x = 9,120.15

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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.