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Finding the Fourth Proportional to 24,197.42, 36,296.32 and 6,668.22

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Solution

The fourth proportional to 24,197.42, 36,296.32 and 6,668.22 is: 10,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,197.42 : 36,296.32 = 6,668.22 : x
  2. Step 2: Convert to fraction form
    24,197.42/36,296.32 = 6,668.22/x
  3. Step 3: Cross multiply
    24,197.42x = 36,296.32 × 6,668.22
  4. Step 4: Simplify right side
    24,197.42x = 242,031,846.95
  5. Step 5: Solve for x
    x = 242,031,846.95/24,197.42
  6. Step 6: Final answer
    x = 10,002.38

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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.