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Finding the Fourth Proportional to 24,312.08, 36,467.96 and 6,782

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Solution

The fourth proportional to 24,312.08, 36,467.96 and 6,782 is: 10,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312.08 : 36,467.96 = 6,782 : x
  2. Step 2: Convert to fraction form
    24,312.08/36,467.96 = 6,782/x
  3. Step 3: Cross multiply
    24,312.08x = 36,467.96 × 6,782
  4. Step 4: Simplify right side
    24,312.08x = 247,325,704.72
  5. Step 5: Solve for x
    x = 247,325,704.72/24,312.08
  6. Step 6: Final answer
    x = 10,172.96

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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.