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Finding the Fourth Proportional to 18,562.76, 27,849.90 and 6,082.88

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Solution

The fourth proportional to 18,562.76, 27,849.90 and 6,082.88 is: 9,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,562.76 : 27,849.90 = 6,082.88 : x
  2. Step 2: Convert to fraction form
    18,562.76/27,849.90 = 6,082.88/x
  3. Step 3: Cross multiply
    18,562.76x = 27,849.90 × 6,082.88
  4. Step 4: Simplify right side
    18,562.76x = 169,407,460.46
  5. Step 5: Solve for x
    x = 169,407,460.46/18,562.76
  6. Step 6: Final answer
    x = 9,126.20

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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.