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Finding the Fourth Proportional to 24,651.35, 36,982.43 and 8,013.14

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Solution

The fourth proportional to 24,651.35, 36,982.43 and 8,013.14 is: 12,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,651.35 : 36,982.43 = 8,013.14 : x
  2. Step 2: Convert to fraction form
    24,651.35/36,982.43 = 8,013.14/x
  3. Step 3: Cross multiply
    24,651.35x = 36,982.43 × 8,013.14
  4. Step 4: Simplify right side
    24,651.35x = 296,345,389.13
  5. Step 5: Solve for x
    x = 296,345,389.13/24,651.35
  6. Step 6: Final answer
    x = 12,021.47

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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.