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Finding the Fourth Proportional to 19,844.69, 27,388.19 and 11,461.19

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Solution

The fourth proportional to 19,844.69, 27,388.19 and 11,461.19 is: 15,817.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,844.69 : 27,388.19 = 11,461.19 : x
  2. Step 2: Convert to fraction form
    19,844.69/27,388.19 = 11,461.19/x
  3. Step 3: Cross multiply
    19,844.69x = 27,388.19 × 11,461.19
  4. Step 4: Simplify right side
    19,844.69x = 313,901,141.06
  5. Step 5: Solve for x
    x = 313,901,141.06/19,844.69
  6. Step 6: Final answer
    x = 15,817.89

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