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Finding the Fourth Proportional to 19,716.92, 27,202.34 and 11,648.85

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Solution

The fourth proportional to 19,716.92, 27,202.34 and 11,648.85 is: 16,071.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,716.92 : 27,202.34 = 11,648.85 : x
  2. Step 2: Convert to fraction form
    19,716.92/27,202.34 = 11,648.85/x
  3. Step 3: Cross multiply
    19,716.92x = 27,202.34 × 11,648.85
  4. Step 4: Simplify right side
    19,716.92x = 316,875,978.31
  5. Step 5: Solve for x
    x = 316,875,978.31/19,716.92
  6. Step 6: Final answer
    x = 16,071.27

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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.