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Finding the Fourth Proportional to 24,558.29, 36,838.74 and 7,919.64

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Solution

The fourth proportional to 24,558.29, 36,838.74 and 7,919.64 is: 11,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,558.29 : 36,838.74 = 7,919.64 : x
  2. Step 2: Convert to fraction form
    24,558.29/36,838.74 = 7,919.64/x
  3. Step 3: Cross multiply
    24,558.29x = 36,838.74 × 7,919.64
  4. Step 4: Simplify right side
    24,558.29x = 291,749,558.85
  5. Step 5: Solve for x
    x = 291,749,558.85/24,558.29
  6. Step 6: Final answer
    x = 11,879.88

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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.