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Finding the Fourth Proportional to 24,324.34, 36,486.86 and 6,794.26

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Solution

The fourth proportional to 24,324.34, 36,486.86 and 6,794.26 is: 10,191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,324.34 : 36,486.86 = 6,794.26 : x
  2. Step 2: Convert to fraction form
    24,324.34/36,486.86 = 6,794.26/x
  3. Step 3: Cross multiply
    24,324.34x = 36,486.86 × 6,794.26
  4. Step 4: Simplify right side
    24,324.34x = 247,901,213.42
  5. Step 5: Solve for x
    x = 247,901,213.42/24,324.34
  6. Step 6: Final answer
    x = 10,191.49

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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.