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Finding the Fourth Proportional to 18,132.36, 27,209.12 and 7,601.48

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Solution

The fourth proportional to 18,132.36, 27,209.12 and 7,601.48 is: 11,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,132.36 : 27,209.12 = 7,601.48 : x
  2. Step 2: Convert to fraction form
    18,132.36/27,209.12 = 7,601.48/x
  3. Step 3: Cross multiply
    18,132.36x = 27,209.12 × 7,601.48
  4. Step 4: Simplify right side
    18,132.36x = 206,829,581.50
  5. Step 5: Solve for x
    x = 206,829,581.50/18,132.36
  6. Step 6: Final answer
    x = 11,406.66

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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.