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Finding the Fourth Proportional to 12,429.50, 18,644.83 and 4,109.31

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Solution

The fourth proportional to 12,429.50, 18,644.83 and 4,109.31 is: 6,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.50 : 18,644.83 = 4,109.31 : x
  2. Step 2: Convert to fraction form
    12,429.50/18,644.83 = 4,109.31/x
  3. Step 3: Cross multiply
    12,429.50x = 18,644.83 × 4,109.31
  4. Step 4: Simplify right side
    12,429.50x = 76,617,376.09
  5. Step 5: Solve for x
    x = 76,617,376.09/12,429.50
  6. Step 6: Final answer
    x = 6,164.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.