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Finding the Fourth Proportional to 23,957.31, 35,936.19 and 8,374.98

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Solution

The fourth proportional to 23,957.31, 35,936.19 and 8,374.98 is: 12,562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,957.31 : 35,936.19 = 8,374.98 : x
  2. Step 2: Convert to fraction form
    23,957.31/35,936.19 = 8,374.98/x
  3. Step 3: Cross multiply
    23,957.31x = 35,936.19 × 8,374.98
  4. Step 4: Simplify right side
    23,957.31x = 300,964,872.53
  5. Step 5: Solve for x
    x = 300,964,872.53/23,957.31
  6. Step 6: Final answer
    x = 12,562.55

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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.