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Finding the Fourth Proportional to 24,198.68, 36,298.02 and 6,668.52

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Solution

The fourth proportional to 24,198.68, 36,298.02 and 6,668.52 is: 10,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.68 : 36,298.02 = 6,668.52 : x
  2. Step 2: Convert to fraction form
    24,198.68/36,298.02 = 6,668.52/x
  3. Step 3: Cross multiply
    24,198.68x = 36,298.02 × 6,668.52
  4. Step 4: Simplify right side
    24,198.68x = 242,054,072.33
  5. Step 5: Solve for x
    x = 242,054,072.33/24,198.68
  6. Step 6: Final answer
    x = 10,002.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.