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Finding the Fourth Proportional to 19,773.26, 27,296.97 and 11,388.14

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Solution

The fourth proportional to 19,773.26, 27,296.97 and 11,388.14 is: 15,721.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.26 : 27,296.97 = 11,388.14 : x
  2. Step 2: Convert to fraction form
    19,773.26/27,296.97 = 11,388.14/x
  3. Step 3: Cross multiply
    19,773.26x = 27,296.97 × 11,388.14
  4. Step 4: Simplify right side
    19,773.26x = 310,861,715.94
  5. Step 5: Solve for x
    x = 310,861,715.94/19,773.26
  6. Step 6: Final answer
    x = 15,721.32

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1.5x scale

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.