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Finding the Fourth Proportional to 19,921.84, 27,503.18 and 11,966

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Solution

The fourth proportional to 19,921.84, 27,503.18 and 11,966 is: 16,519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,921.84 : 27,503.18 = 11,966 : x
  2. Step 2: Convert to fraction form
    19,921.84/27,503.18 = 11,966/x
  3. Step 3: Cross multiply
    19,921.84x = 27,503.18 × 11,966
  4. Step 4: Simplify right side
    19,921.84x = 329,103,051.88
  5. Step 5: Solve for x
    x = 329,103,051.88/19,921.84
  6. Step 6: Final answer
    x = 16,519.71

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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.