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Finding the Fourth Proportional to 12,114.80, 18,172.20 and 3,795.50

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Solution

The fourth proportional to 12,114.80, 18,172.20 and 3,795.50 is: 5,693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.80 : 18,172.20 = 3,795.50 : x
  2. Step 2: Convert to fraction form
    12,114.80/18,172.20 = 3,795.50/x
  3. Step 3: Cross multiply
    12,114.80x = 18,172.20 × 3,795.50
  4. Step 4: Simplify right side
    12,114.80x = 68,972,585.10
  5. Step 5: Solve for x
    x = 68,972,585.10/12,114.80
  6. Step 6: Final answer
    x = 5,693.25

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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.