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Finding the Fourth Proportional to 19,657.20, 27,136.20 and 11,588.38

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Solution

The fourth proportional to 19,657.20, 27,136.20 and 11,588.38 is: 15,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.20 : 27,136.20 = 11,588.38 : x
  2. Step 2: Convert to fraction form
    19,657.20/27,136.20 = 11,588.38/x
  3. Step 3: Cross multiply
    19,657.20x = 27,136.20 × 11,588.38
  4. Step 4: Simplify right side
    19,657.20x = 314,464,597.36
  5. Step 5: Solve for x
    x = 314,464,597.36/19,657.20
  6. Step 6: Final answer
    x = 15,997.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.