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Finding the Fourth Proportional to 24,447.72, 36,664.02 and 8,861.52

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Solution

The fourth proportional to 24,447.72, 36,664.02 and 8,861.52 is: 13,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,447.72 : 36,664.02 = 8,861.52 : x
  2. Step 2: Convert to fraction form
    24,447.72/36,664.02 = 8,861.52/x
  3. Step 3: Cross multiply
    24,447.72x = 36,664.02 × 8,861.52
  4. Step 4: Simplify right side
    24,447.72x = 324,898,946.51
  5. Step 5: Solve for x
    x = 324,898,946.51/24,447.72
  6. Step 6: Final answer
    x = 13,289.54

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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.