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Finding the Fourth Proportional to 19,716.24, 27,201.88 and 13,005.20

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Solution

The fourth proportional to 19,716.24, 27,201.88 and 13,005.20 is: 17,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,716.24 : 27,201.88 = 13,005.20 : x
  2. Step 2: Convert to fraction form
    19,716.24/27,201.88 = 13,005.20/x
  3. Step 3: Cross multiply
    19,716.24x = 27,201.88 × 13,005.20
  4. Step 4: Simplify right side
    19,716.24x = 353,765,889.78
  5. Step 5: Solve for x
    x = 353,765,889.78/19,716.24
  6. Step 6: Final answer
    x = 17,942.87

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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.