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Finding the Fourth Proportional to 19,991.54, 27,583.89 and 11,493.14

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Solution

The fourth proportional to 19,991.54, 27,583.89 and 11,493.14 is: 15,857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,991.54 : 27,583.89 = 11,493.14 : x
  2. Step 2: Convert to fraction form
    19,991.54/27,583.89 = 11,493.14/x
  3. Step 3: Cross multiply
    19,991.54x = 27,583.89 × 11,493.14
  4. Step 4: Simplify right side
    19,991.54x = 317,025,509.51
  5. Step 5: Solve for x
    x = 317,025,509.51/19,991.54
  6. Step 6: Final answer
    x = 15,857.98

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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.