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Finding the Fourth Proportional to 24,234.52, 36,364.20 and 11,922.52

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Solution

The fourth proportional to 24,234.52, 36,364.20 and 11,922.52 is: 17,889.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,234.52 : 36,364.20 = 11,922.52 : x
  2. Step 2: Convert to fraction form
    24,234.52/36,364.20 = 11,922.52/x
  3. Step 3: Cross multiply
    24,234.52x = 36,364.20 × 11,922.52
  4. Step 4: Simplify right side
    24,234.52x = 433,552,901.78
  5. Step 5: Solve for x
    x = 433,552,901.78/24,234.52
  6. Step 6: Final answer
    x = 17,889.89

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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.