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Finding the Fourth Proportional to 19,838.49, 27,375.40 and 10,885.96

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Solution

The fourth proportional to 19,838.49, 27,375.40 and 10,885.96 is: 15,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.49 : 27,375.40 = 10,885.96 : x
  2. Step 2: Convert to fraction form
    19,838.49/27,375.40 = 10,885.96/x
  3. Step 3: Cross multiply
    19,838.49x = 27,375.40 × 10,885.96
  4. Step 4: Simplify right side
    19,838.49x = 298,007,509.38
  5. Step 5: Solve for x
    x = 298,007,509.38/19,838.49
  6. Step 6: Final answer
    x = 15,021.68

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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.