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Finding the Fourth Proportional to 17,144.46, 25,710.62 and 7,776.61

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Solution

The fourth proportional to 17,144.46, 25,710.62 and 7,776.61 is: 11,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,144.46 : 25,710.62 = 7,776.61 : x
  2. Step 2: Convert to fraction form
    17,144.46/25,710.62 = 7,776.61/x
  3. Step 3: Cross multiply
    17,144.46x = 25,710.62 × 7,776.61
  4. Step 4: Simplify right side
    17,144.46x = 199,941,361.44
  5. Step 5: Solve for x
    x = 199,941,361.44/17,144.46
  6. Step 6: Final answer
    x = 11,662.16

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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.