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Finding the Fourth Proportional to 16,205.00, 24,307.70 and 5,674.59

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Solution

The fourth proportional to 16,205.00, 24,307.70 and 5,674.59 is: 8,511.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.00 : 24,307.70 = 5,674.59 : x
  2. Step 2: Convert to fraction form
    16,205.00/24,307.70 = 5,674.59/x
  3. Step 3: Cross multiply
    16,205.00x = 24,307.70 × 5,674.59
  4. Step 4: Simplify right side
    16,205.00x = 137,936,202.97
  5. Step 5: Solve for x
    x = 137,936,202.97/16,205.00
  6. Step 6: Final answer
    x = 8,511.96

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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.