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Finding the Fourth Proportional to 28,586.50, 42,872 and 11,943.05

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Solution

The fourth proportional to 28,586.50, 42,872 and 11,943.05 is: 17,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,586.50 : 42,872 = 11,943.05 : x
  2. Step 2: Convert to fraction form
    28,586.50/42,872 = 11,943.05/x
  3. Step 3: Cross multiply
    28,586.50x = 42,872 × 11,943.05
  4. Step 4: Simplify right side
    28,586.50x = 512,022,439.60
  5. Step 5: Solve for x
    x = 512,022,439.60/28,586.50
  6. Step 6: Final answer
    x = 17,911.34

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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.