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Finding the Fourth Proportional to 24,650.83, 36,978.27 and 7,120.81

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Solution

The fourth proportional to 24,650.83, 36,978.27 and 7,120.81 is: 10,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,650.83 : 36,978.27 = 7,120.81 : x
  2. Step 2: Convert to fraction form
    24,650.83/36,978.27 = 7,120.81/x
  3. Step 3: Cross multiply
    24,650.83x = 36,978.27 × 7,120.81
  4. Step 4: Simplify right side
    24,650.83x = 263,315,234.80
  5. Step 5: Solve for x
    x = 263,315,234.80/24,650.83
  6. Step 6: Final answer
    x = 10,681.80

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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.