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Finding the Fourth Proportional to 17,625, 24,323.46 and 10,175.40

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Solution

The fourth proportional to 17,625, 24,323.46 and 10,175.40 is: 14,042.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,625 : 24,323.46 = 10,175.40 : x
  2. Step 2: Convert to fraction form
    17,625/24,323.46 = 10,175.40/x
  3. Step 3: Cross multiply
    17,625x = 24,323.46 × 10,175.40
  4. Step 4: Simplify right side
    17,625x = 247,500,934.88
  5. Step 5: Solve for x
    x = 247,500,934.88/17,625
  6. Step 6: Final answer
    x = 14,042.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.