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Finding the Fourth Proportional to 12,121.65, 18,185.31 and 3,801.60

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Solution

The fourth proportional to 12,121.65, 18,185.31 and 3,801.60 is: 5,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.65 : 18,185.31 = 3,801.60 : x
  2. Step 2: Convert to fraction form
    12,121.65/18,185.31 = 3,801.60/x
  3. Step 3: Cross multiply
    12,121.65x = 18,185.31 × 3,801.60
  4. Step 4: Simplify right side
    12,121.65x = 69,133,274.50
  5. Step 5: Solve for x
    x = 69,133,274.50/12,121.65
  6. Step 6: Final answer
    x = 5,703.29

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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.