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Finding the Fourth Proportional to 18,082.56, 27,132 and 11,507.04

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Solution

The fourth proportional to 18,082.56, 27,132 and 11,507.04 is: 17,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,082.56 : 27,132 = 11,507.04 : x
  2. Step 2: Convert to fraction form
    18,082.56/27,132 = 11,507.04/x
  3. Step 3: Cross multiply
    18,082.56x = 27,132 × 11,507.04
  4. Step 4: Simplify right side
    18,082.56x = 312,209,009.28
  5. Step 5: Solve for x
    x = 312,209,009.28/18,082.56
  6. Step 6: Final answer
    x = 17,265.75

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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.