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Finding the Fourth Proportional to 27,902.76, 38,474.43 and 21,514.92

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Solution

The fourth proportional to 27,902.76, 38,474.43 and 21,514.92 is: 29,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.76 : 38,474.43 = 21,514.92 : x
  2. Step 2: Convert to fraction form
    27,902.76/38,474.43 = 21,514.92/x
  3. Step 3: Cross multiply
    27,902.76x = 38,474.43 × 21,514.92
  4. Step 4: Simplify right side
    27,902.76x = 827,774,283.50
  5. Step 5: Solve for x
    x = 827,774,283.50/27,902.76
  6. Step 6: Final answer
    x = 29,666.39

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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.