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Finding the Fourth Proportional to 25,514.92, 38,220.54 and 13,177

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Solution

The fourth proportional to 25,514.92, 38,220.54 and 13,177 is: 19,738.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,514.92 : 38,220.54 = 13,177 : x
  2. Step 2: Convert to fraction form
    25,514.92/38,220.54 = 13,177/x
  3. Step 3: Cross multiply
    25,514.92x = 38,220.54 × 13,177
  4. Step 4: Simplify right side
    25,514.92x = 503,632,055.58
  5. Step 5: Solve for x
    x = 503,632,055.58/25,514.92
  6. Step 6: Final answer
    x = 19,738.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.