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Finding the Fourth Proportional to 23,725.90, 35,591.28 and 8,141.50

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Solution

The fourth proportional to 23,725.90, 35,591.28 and 8,141.50 is: 12,213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,725.90 : 35,591.28 = 8,141.50 : x
  2. Step 2: Convert to fraction form
    23,725.90/35,591.28 = 8,141.50/x
  3. Step 3: Cross multiply
    23,725.90x = 35,591.28 × 8,141.50
  4. Step 4: Simplify right side
    23,725.90x = 289,766,406.12
  5. Step 5: Solve for x
    x = 289,766,406.12/23,725.90
  6. Step 6: Final answer
    x = 12,213.08

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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.