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Finding the Fourth Proportional to 19,712.46, 27,198 and 11,214.66

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Solution

The fourth proportional to 19,712.46, 27,198 and 11,214.66 is: 15,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,712.46 : 27,198 = 11,214.66 : x
  2. Step 2: Convert to fraction form
    19,712.46/27,198 = 11,214.66/x
  3. Step 3: Cross multiply
    19,712.46x = 27,198 × 11,214.66
  4. Step 4: Simplify right side
    19,712.46x = 305,016,322.68
  5. Step 5: Solve for x
    x = 305,016,322.68/19,712.46
  6. Step 6: Final answer
    x = 15,473.28

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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.