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Finding the Fourth Proportional to 18,480.32, 27,734.88 and 6,804.80

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Solution

The fourth proportional to 18,480.32, 27,734.88 and 6,804.80 is: 10,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,480.32 : 27,734.88 = 6,804.80 : x
  2. Step 2: Convert to fraction form
    18,480.32/27,734.88 = 6,804.80/x
  3. Step 3: Cross multiply
    18,480.32x = 27,734.88 × 6,804.80
  4. Step 4: Simplify right side
    18,480.32x = 188,730,311.42
  5. Step 5: Solve for x
    x = 188,730,311.42/18,480.32
  6. Step 6: Final answer
    x = 10,212.50

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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.