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Finding the Fourth Proportional to 23,866.31, 35,815.91 and 8,283.94

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Solution

The fourth proportional to 23,866.31, 35,815.91 and 8,283.94 is: 12,431.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,866.31 : 35,815.91 = 8,283.94 : x
  2. Step 2: Convert to fraction form
    23,866.31/35,815.91 = 8,283.94/x
  3. Step 3: Cross multiply
    23,866.31x = 35,815.91 × 8,283.94
  4. Step 4: Simplify right side
    23,866.31x = 296,696,718.53
  5. Step 5: Solve for x
    x = 296,696,718.53/23,866.31
  6. Step 6: Final answer
    x = 12,431.61

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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.