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Finding the Fourth Proportional to 16,634.43, 24,951.78 and 4,947.75

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Solution

The fourth proportional to 16,634.43, 24,951.78 and 4,947.75 is: 7,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,634.43 : 24,951.78 = 4,947.75 : x
  2. Step 2: Convert to fraction form
    16,634.43/24,951.78 = 4,947.75/x
  3. Step 3: Cross multiply
    16,634.43x = 24,951.78 × 4,947.75
  4. Step 4: Simplify right side
    16,634.43x = 123,455,169.50
  5. Step 5: Solve for x
    x = 123,455,169.50/16,634.43
  6. Step 6: Final answer
    x = 7,421.67

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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.