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Finding the Fourth Proportional to 18,586.72, 27,844.44 and 11,545.84

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Solution

The fourth proportional to 18,586.72, 27,844.44 and 11,545.84 is: 17,296.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,586.72 : 27,844.44 = 11,545.84 : x
  2. Step 2: Convert to fraction form
    18,586.72/27,844.44 = 11,545.84/x
  3. Step 3: Cross multiply
    18,586.72x = 27,844.44 × 11,545.84
  4. Step 4: Simplify right side
    18,586.72x = 321,487,449.13
  5. Step 5: Solve for x
    x = 321,487,449.13/18,586.72
  6. Step 6: Final answer
    x = 17,296.62

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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.