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Finding the Fourth Proportional to 16,576.75, 24,875.49 and 6,716.08

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Solution

The fourth proportional to 16,576.75, 24,875.49 and 6,716.08 is: 10,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576.75 : 24,875.49 = 6,716.08 : x
  2. Step 2: Convert to fraction form
    16,576.75/24,875.49 = 6,716.08/x
  3. Step 3: Cross multiply
    16,576.75x = 24,875.49 × 6,716.08
  4. Step 4: Simplify right side
    16,576.75x = 167,065,780.88
  5. Step 5: Solve for x
    x = 167,065,780.88/16,576.75
  6. Step 6: Final answer
    x = 10,078.32

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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.