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Finding the Fourth Proportional to 18,593.75, 27,891.07 and 4,742.75

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Solution

The fourth proportional to 18,593.75, 27,891.07 and 4,742.75 is: 7,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,593.75 : 27,891.07 = 4,742.75 : x
  2. Step 2: Convert to fraction form
    18,593.75/27,891.07 = 4,742.75/x
  3. Step 3: Cross multiply
    18,593.75x = 27,891.07 × 4,742.75
  4. Step 4: Simplify right side
    18,593.75x = 132,280,430.11
  5. Step 5: Solve for x
    x = 132,280,430.11/18,593.75
  6. Step 6: Final answer
    x = 7,114.24

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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.