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Finding the Fourth Proportional to 27,563.40, 38,034.90 and 19,074.60

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Solution

The fourth proportional to 27,563.40, 38,034.90 and 19,074.60 is: 26,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,563.40 : 38,034.90 = 19,074.60 : x
  2. Step 2: Convert to fraction form
    27,563.40/38,034.90 = 19,074.60/x
  3. Step 3: Cross multiply
    27,563.40x = 38,034.90 × 19,074.60
  4. Step 4: Simplify right side
    27,563.40x = 725,500,503.54
  5. Step 5: Solve for x
    x = 725,500,503.54/27,563.40
  6. Step 6: Final answer
    x = 26,321.15

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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.