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Finding the Fourth Proportional to 24,300.50, 36,453 and 11,150.96

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Solution

The fourth proportional to 24,300.50, 36,453 and 11,150.96 is: 16,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,300.50 : 36,453 = 11,150.96 : x
  2. Step 2: Convert to fraction form
    24,300.50/36,453 = 11,150.96/x
  3. Step 3: Cross multiply
    24,300.50x = 36,453 × 11,150.96
  4. Step 4: Simplify right side
    24,300.50x = 406,485,944.88
  5. Step 5: Solve for x
    x = 406,485,944.88/24,300.50
  6. Step 6: Final answer
    x = 16,727.47

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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.