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Finding the Fourth Proportional to 23,817.78, 35,730.32 and 7,175.61

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Solution

The fourth proportional to 23,817.78, 35,730.32 and 7,175.61 is: 10,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817.78 : 35,730.32 = 7,175.61 : x
  2. Step 2: Convert to fraction form
    23,817.78/35,730.32 = 7,175.61/x
  3. Step 3: Cross multiply
    23,817.78x = 35,730.32 × 7,175.61
  4. Step 4: Simplify right side
    23,817.78x = 256,386,805.62
  5. Step 5: Solve for x
    x = 256,386,805.62/23,817.78
  6. Step 6: Final answer
    x = 10,764.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.