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Finding the Fourth Proportional to 18,085.72, 27,134.52 and 11,414.50

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Solution

The fourth proportional to 18,085.72, 27,134.52 and 11,414.50 is: 17,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,085.72 : 27,134.52 = 11,414.50 : x
  2. Step 2: Convert to fraction form
    18,085.72/27,134.52 = 11,414.50/x
  3. Step 3: Cross multiply
    18,085.72x = 27,134.52 × 11,414.50
  4. Step 4: Simplify right side
    18,085.72x = 309,726,978.54
  5. Step 5: Solve for x
    x = 309,726,978.54/18,085.72
  6. Step 6: Final answer
    x = 17,125.50

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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.