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Finding the Fourth Proportional to 19,927.22, 27,496.71 and 11,429.73

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Solution

The fourth proportional to 19,927.22, 27,496.71 and 11,429.73 is: 15,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,927.22 : 27,496.71 = 11,429.73 : x
  2. Step 2: Convert to fraction form
    19,927.22/27,496.71 = 11,429.73/x
  3. Step 3: Cross multiply
    19,927.22x = 27,496.71 × 11,429.73
  4. Step 4: Simplify right side
    19,927.22x = 314,279,971.19
  5. Step 5: Solve for x
    x = 314,279,971.19/19,927.22
  6. Step 6: Final answer
    x = 15,771.39

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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.