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Finding the Fourth Proportional to 16,000.50, 23,966.06 and 11,608.26

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Solution

The fourth proportional to 16,000.50, 23,966.06 and 11,608.26 is: 17,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.50 : 23,966.06 = 11,608.26 : x
  2. Step 2: Convert to fraction form
    16,000.50/23,966.06 = 11,608.26/x
  3. Step 3: Cross multiply
    16,000.50x = 23,966.06 × 11,608.26
  4. Step 4: Simplify right side
    16,000.50x = 278,204,255.66
  5. Step 5: Solve for x
    x = 278,204,255.66/16,000.50
  6. Step 6: Final answer
    x = 17,387.22

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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.