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Finding the Fourth Proportional to 19,930.76, 27,513.78 and 11,545.64

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Solution

The fourth proportional to 19,930.76, 27,513.78 and 11,545.64 is: 15,938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,930.76 : 27,513.78 = 11,545.64 : x
  2. Step 2: Convert to fraction form
    19,930.76/27,513.78 = 11,545.64/x
  3. Step 3: Cross multiply
    19,930.76x = 27,513.78 × 11,545.64
  4. Step 4: Simplify right side
    19,930.76x = 317,664,198.92
  5. Step 5: Solve for x
    x = 317,664,198.92/19,930.76
  6. Step 6: Final answer
    x = 15,938.39

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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.