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Finding the Fourth Proportional to 18,378.50, 27,568.96 and 7,842.62

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Solution

The fourth proportional to 18,378.50, 27,568.96 and 7,842.62 is: 11,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,378.50 : 27,568.96 = 7,842.62 : x
  2. Step 2: Convert to fraction form
    18,378.50/27,568.96 = 7,842.62/x
  3. Step 3: Cross multiply
    18,378.50x = 27,568.96 × 7,842.62
  4. Step 4: Simplify right side
    18,378.50x = 216,212,926.39
  5. Step 5: Solve for x
    x = 216,212,926.39/18,378.50
  6. Step 6: Final answer
    x = 11,764.45

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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.