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Finding the Fourth Proportional to 24,063.63, 36,098.42 and 8,271.87

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Solution

The fourth proportional to 24,063.63, 36,098.42 and 8,271.87 is: 12,408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,063.63 : 36,098.42 = 8,271.87 : x
  2. Step 2: Convert to fraction form
    24,063.63/36,098.42 = 8,271.87/x
  3. Step 3: Cross multiply
    24,063.63x = 36,098.42 × 8,271.87
  4. Step 4: Simplify right side
    24,063.63x = 298,601,396.09
  5. Step 5: Solve for x
    x = 298,601,396.09/24,063.63
  6. Step 6: Final answer
    x = 12,408.83

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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.