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Finding the Fourth Proportional to 18,922.56, 28,376.31 and 6,440.04

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Solution

The fourth proportional to 18,922.56, 28,376.31 and 6,440.04 is: 9,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,922.56 : 28,376.31 = 6,440.04 : x
  2. Step 2: Convert to fraction form
    18,922.56/28,376.31 = 6,440.04/x
  3. Step 3: Cross multiply
    18,922.56x = 28,376.31 × 6,440.04
  4. Step 4: Simplify right side
    18,922.56x = 182,744,571.45
  5. Step 5: Solve for x
    x = 182,744,571.45/18,922.56
  6. Step 6: Final answer
    x = 9,657.50

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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.