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Finding the Fourth Proportional to 24,168.28, 36,249 and 7,524.40

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Solution

The fourth proportional to 24,168.28, 36,249 and 7,524.40 is: 11,285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,168.28 : 36,249 = 7,524.40 : x
  2. Step 2: Convert to fraction form
    24,168.28/36,249 = 7,524.40/x
  3. Step 3: Cross multiply
    24,168.28x = 36,249 × 7,524.40
  4. Step 4: Simplify right side
    24,168.28x = 272,751,975.60
  5. Step 5: Solve for x
    x = 272,751,975.60/24,168.28
  6. Step 6: Final answer
    x = 11,285.54

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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.