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Finding the Fourth Proportional to 19,673.92, 27,149.76 and 11,290.24

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Solution

The fourth proportional to 19,673.92, 27,149.76 and 11,290.24 is: 15,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.92 : 27,149.76 = 11,290.24 : x
  2. Step 2: Convert to fraction form
    19,673.92/27,149.76 = 11,290.24/x
  3. Step 3: Cross multiply
    19,673.92x = 27,149.76 × 11,290.24
  4. Step 4: Simplify right side
    19,673.92x = 306,527,306.34
  5. Step 5: Solve for x
    x = 306,527,306.34/19,673.92
  6. Step 6: Final answer
    x = 15,580.39

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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.