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Finding the Fourth Proportional to 16,003.49, 24,008.07 and 5,474.67

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Solution

The fourth proportional to 16,003.49, 24,008.07 and 5,474.67 is: 8,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.49 : 24,008.07 = 5,474.67 : x
  2. Step 2: Convert to fraction form
    16,003.49/24,008.07 = 5,474.67/x
  3. Step 3: Cross multiply
    16,003.49x = 24,008.07 × 5,474.67
  4. Step 4: Simplify right side
    16,003.49x = 131,436,260.59
  5. Step 5: Solve for x
    x = 131,436,260.59/16,003.49
  6. Step 6: Final answer
    x = 8,212.98

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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.