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Finding the Fourth Proportional to 24,783.86, 37,177.92 and 7,919.30

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Solution

The fourth proportional to 24,783.86, 37,177.92 and 7,919.30 is: 11,879.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783.86 : 37,177.92 = 7,919.30 : x
  2. Step 2: Convert to fraction form
    24,783.86/37,177.92 = 7,919.30/x
  3. Step 3: Cross multiply
    24,783.86x = 37,177.92 × 7,919.30
  4. Step 4: Simplify right side
    24,783.86x = 294,423,194.80
  5. Step 5: Solve for x
    x = 294,423,194.80/24,783.86
  6. Step 6: Final answer
    x = 11,879.63

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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.