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Finding the Fourth Proportional to 23,374.70, 35,076.10 and 8,380.65

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Solution

The fourth proportional to 23,374.70, 35,076.10 and 8,380.65 is: 12,576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,374.70 : 35,076.10 = 8,380.65 : x
  2. Step 2: Convert to fraction form
    23,374.70/35,076.10 = 8,380.65/x
  3. Step 3: Cross multiply
    23,374.70x = 35,076.10 × 8,380.65
  4. Step 4: Simplify right side
    23,374.70x = 293,960,517.47
  5. Step 5: Solve for x
    x = 293,960,517.47/23,374.70
  6. Step 6: Final answer
    x = 12,576.01

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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.