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Finding the Fourth Proportional to 16,380.68, 24,550.45 and 7,009.67

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Solution

The fourth proportional to 16,380.68, 24,550.45 and 7,009.67 is: 10,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380.68 : 24,550.45 = 7,009.67 : x
  2. Step 2: Convert to fraction form
    16,380.68/24,550.45 = 7,009.67/x
  3. Step 3: Cross multiply
    16,380.68x = 24,550.45 × 7,009.67
  4. Step 4: Simplify right side
    16,380.68x = 172,090,596.70
  5. Step 5: Solve for x
    x = 172,090,596.70/16,380.68
  6. Step 6: Final answer
    x = 10,505.71

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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.