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Finding the Fourth Proportional to 18,350.96, 27,523.43 and 5,200.23

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Solution

The fourth proportional to 18,350.96, 27,523.43 and 5,200.23 is: 7,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,350.96 : 27,523.43 = 5,200.23 : x
  2. Step 2: Convert to fraction form
    18,350.96/27,523.43 = 5,200.23/x
  3. Step 3: Cross multiply
    18,350.96x = 27,523.43 × 5,200.23
  4. Step 4: Simplify right side
    18,350.96x = 143,128,263.10
  5. Step 5: Solve for x
    x = 143,128,263.10/18,350.96
  6. Step 6: Final answer
    x = 7,799.50

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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.