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Finding the Fourth Proportional to 24,486.77, 36,729.12 and 7,846.43

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Solution

The fourth proportional to 24,486.77, 36,729.12 and 7,846.43 is: 11,769.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,486.77 : 36,729.12 = 7,846.43 : x
  2. Step 2: Convert to fraction form
    24,486.77/36,729.12 = 7,846.43/x
  3. Step 3: Cross multiply
    24,486.77x = 36,729.12 × 7,846.43
  4. Step 4: Simplify right side
    24,486.77x = 288,192,285.40
  5. Step 5: Solve for x
    x = 288,192,285.40/24,486.77
  6. Step 6: Final answer
    x = 11,769.31

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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.