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Finding the Fourth Proportional to 24,511.40, 36,768.30 and 12,847.40

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Solution

The fourth proportional to 24,511.40, 36,768.30 and 12,847.40 is: 19,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,511.40 : 36,768.30 = 12,847.40 : x
  2. Step 2: Convert to fraction form
    24,511.40/36,768.30 = 12,847.40/x
  3. Step 3: Cross multiply
    24,511.40x = 36,768.30 × 12,847.40
  4. Step 4: Simplify right side
    24,511.40x = 472,377,057.42
  5. Step 5: Solve for x
    x = 472,377,057.42/24,511.40
  6. Step 6: Final answer
    x = 19,271.73

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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.