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Finding the Fourth Proportional to 24,983.52, 37,467 and 8,338.92

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Solution

The fourth proportional to 24,983.52, 37,467 and 8,338.92 is: 12,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,983.52 : 37,467 = 8,338.92 : x
  2. Step 2: Convert to fraction form
    24,983.52/37,467 = 8,338.92/x
  3. Step 3: Cross multiply
    24,983.52x = 37,467 × 8,338.92
  4. Step 4: Simplify right side
    24,983.52x = 312,434,315.64
  5. Step 5: Solve for x
    x = 312,434,315.64/24,983.52
  6. Step 6: Final answer
    x = 12,505.62

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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.