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Finding the Fourth Proportional to 27,514.38, 37,969.98 and 15,580.04

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Solution

The fourth proportional to 27,514.38, 37,969.98 and 15,580.04 is: 21,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,514.38 : 37,969.98 = 15,580.04 : x
  2. Step 2: Convert to fraction form
    27,514.38/37,969.98 = 15,580.04/x
  3. Step 3: Cross multiply
    27,514.38x = 37,969.98 × 15,580.04
  4. Step 4: Simplify right side
    27,514.38x = 591,573,860.14
  5. Step 5: Solve for x
    x = 591,573,860.14/27,514.38
  6. Step 6: Final answer
    x = 21,500.54

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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.