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Finding the Fourth Proportional to 24,546.65, 36,819.77 and 7,016.42

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Solution

The fourth proportional to 24,546.65, 36,819.77 and 7,016.42 is: 10,524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,546.65 : 36,819.77 = 7,016.42 : x
  2. Step 2: Convert to fraction form
    24,546.65/36,819.77 = 7,016.42/x
  3. Step 3: Cross multiply
    24,546.65x = 36,819.77 × 7,016.42
  4. Step 4: Simplify right side
    24,546.65x = 258,343,027.59
  5. Step 5: Solve for x
    x = 258,343,027.59/24,546.65
  6. Step 6: Final answer
    x = 10,524.58

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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.