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Finding the Fourth Proportional to 18,822.80, 28,236.81 and 6,346.40

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Solution

The fourth proportional to 18,822.80, 28,236.81 and 6,346.40 is: 9,520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,822.80 : 28,236.81 = 6,346.40 : x
  2. Step 2: Convert to fraction form
    18,822.80/28,236.81 = 6,346.40/x
  3. Step 3: Cross multiply
    18,822.80x = 28,236.81 × 6,346.40
  4. Step 4: Simplify right side
    18,822.80x = 179,201,918.07
  5. Step 5: Solve for x
    x = 179,201,918.07/18,822.80
  6. Step 6: Final answer
    x = 9,520.47

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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.