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Finding the Fourth Proportional to 17,009.70, 25,514.55 and 13,729.20

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Solution

The fourth proportional to 17,009.70, 25,514.55 and 13,729.20 is: 20,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,009.70 : 25,514.55 = 13,729.20 : x
  2. Step 2: Convert to fraction form
    17,009.70/25,514.55 = 13,729.20/x
  3. Step 3: Cross multiply
    17,009.70x = 25,514.55 × 13,729.20
  4. Step 4: Simplify right side
    17,009.70x = 350,294,359.86
  5. Step 5: Solve for x
    x = 350,294,359.86/17,009.70
  6. Step 6: Final answer
    x = 20,593.80

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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.