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Finding the Fourth Proportional to 16,289.25, 24,422.67 and 6,429.66

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Solution

The fourth proportional to 16,289.25, 24,422.67 and 6,429.66 is: 9,640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.25 : 24,422.67 = 6,429.66 : x
  2. Step 2: Convert to fraction form
    16,289.25/24,422.67 = 6,429.66/x
  3. Step 3: Cross multiply
    16,289.25x = 24,422.67 × 6,429.66
  4. Step 4: Simplify right side
    16,289.25x = 157,029,464.39
  5. Step 5: Solve for x
    x = 157,029,464.39/16,289.25
  6. Step 6: Final answer
    x = 9,640.07

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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.