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Finding the Fourth Proportional to 16,435.70, 24,657.15 and 8,119.70

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Solution

The fourth proportional to 16,435.70, 24,657.15 and 8,119.70 is: 12,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,435.70 : 24,657.15 = 8,119.70 : x
  2. Step 2: Convert to fraction form
    16,435.70/24,657.15 = 8,119.70/x
  3. Step 3: Cross multiply
    16,435.70x = 24,657.15 × 8,119.70
  4. Step 4: Simplify right side
    16,435.70x = 200,208,660.86
  5. Step 5: Solve for x
    x = 200,208,660.86/16,435.70
  6. Step 6: Final answer
    x = 12,181.33

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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.