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Finding the Fourth Proportional to 16,906.50, 25,359.78 and 4,594.50

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Solution

The fourth proportional to 16,906.50, 25,359.78 and 4,594.50 is: 6,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.50 : 25,359.78 = 4,594.50 : x
  2. Step 2: Convert to fraction form
    16,906.50/25,359.78 = 4,594.50/x
  3. Step 3: Cross multiply
    16,906.50x = 25,359.78 × 4,594.50
  4. Step 4: Simplify right side
    16,906.50x = 116,515,509.21
  5. Step 5: Solve for x
    x = 116,515,509.21/16,906.50
  6. Step 6: Final answer
    x = 6,891.76

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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.