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Finding the Fourth Proportional to 17,184.66, 25,775.70 and 5,338.09

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Solution

The fourth proportional to 17,184.66, 25,775.70 and 5,338.09 is: 8,006.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.66 : 25,775.70 = 5,338.09 : x
  2. Step 2: Convert to fraction form
    17,184.66/25,775.70 = 5,338.09/x
  3. Step 3: Cross multiply
    17,184.66x = 25,775.70 × 5,338.09
  4. Step 4: Simplify right side
    17,184.66x = 137,593,006.41
  5. Step 5: Solve for x
    x = 137,593,006.41/17,184.66
  6. Step 6: Final answer
    x = 8,006.73

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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.