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Finding the Fourth Proportional to 16,382.83, 24,576.53 and 5,285.94

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Solution

The fourth proportional to 16,382.83, 24,576.53 and 5,285.94 is: 7,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.83 : 24,576.53 = 5,285.94 : x
  2. Step 2: Convert to fraction form
    16,382.83/24,576.53 = 5,285.94/x
  3. Step 3: Cross multiply
    16,382.83x = 24,576.53 × 5,285.94
  4. Step 4: Simplify right side
    16,382.83x = 129,910,062.99
  5. Step 5: Solve for x
    x = 129,910,062.99/16,382.83
  6. Step 6: Final answer
    x = 7,929.65

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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.