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Finding the Fourth Proportional to 19,717.84, 27,229.80 and 13,741.12

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Solution

The fourth proportional to 19,717.84, 27,229.80 and 13,741.12 is: 18,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,717.84 : 27,229.80 = 13,741.12 : x
  2. Step 2: Convert to fraction form
    19,717.84/27,229.80 = 13,741.12/x
  3. Step 3: Cross multiply
    19,717.84x = 27,229.80 × 13,741.12
  4. Step 4: Simplify right side
    19,717.84x = 374,167,949.38
  5. Step 5: Solve for x
    x = 374,167,949.38/19,717.84
  6. Step 6: Final answer
    x = 18,976.11

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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.