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Finding the Fourth Proportional to 19,864, 27,411.78 and 10,911.40

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Solution

The fourth proportional to 19,864, 27,411.78 and 10,911.40 is: 15,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,864 : 27,411.78 = 10,911.40 : x
  2. Step 2: Convert to fraction form
    19,864/27,411.78 = 10,911.40/x
  3. Step 3: Cross multiply
    19,864x = 27,411.78 × 10,911.40
  4. Step 4: Simplify right side
    19,864x = 299,100,896.29
  5. Step 5: Solve for x
    x = 299,100,896.29/19,864
  6. Step 6: Final answer
    x = 15,057.44

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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.