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Finding the Fourth Proportional to 18,593.76, 27,890.66 and 4,742.76

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Solution

The fourth proportional to 18,593.76, 27,890.66 and 4,742.76 is: 7,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,593.76 : 27,890.66 = 4,742.76 : x
  2. Step 2: Convert to fraction form
    18,593.76/27,890.66 = 4,742.76/x
  3. Step 3: Cross multiply
    18,593.76x = 27,890.66 × 4,742.76
  4. Step 4: Simplify right side
    18,593.76x = 132,278,682.91
  5. Step 5: Solve for x
    x = 132,278,682.91/18,593.76
  6. Step 6: Final answer
    x = 7,114.14

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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.