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Finding the Fourth Proportional to 16,535.68, 24,813.37 and 6,006.54

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Solution

The fourth proportional to 16,535.68, 24,813.37 and 6,006.54 is: 9,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.68 : 24,813.37 = 6,006.54 : x
  2. Step 2: Convert to fraction form
    16,535.68/24,813.37 = 6,006.54/x
  3. Step 3: Cross multiply
    16,535.68x = 24,813.37 × 6,006.54
  4. Step 4: Simplify right side
    16,535.68x = 149,042,499.44
  5. Step 5: Solve for x
    x = 149,042,499.44/16,535.68
  6. Step 6: Final answer
    x = 9,013.39

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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.