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Finding the Fourth Proportional to 18,082.48, 27,127.86 and 6,989.26

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Solution

The fourth proportional to 18,082.48, 27,127.86 and 6,989.26 is: 10,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,082.48 : 27,127.86 = 6,989.26 : x
  2. Step 2: Convert to fraction form
    18,082.48/27,127.86 = 6,989.26/x
  3. Step 3: Cross multiply
    18,082.48x = 27,127.86 × 6,989.26
  4. Step 4: Simplify right side
    18,082.48x = 189,603,666.78
  5. Step 5: Solve for x
    x = 189,603,666.78/18,082.48
  6. Step 6: Final answer
    x = 10,485.49

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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.