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Finding the Fourth Proportional to 17,200.40, 25,757.40 and 13,744.40

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Solution

The fourth proportional to 17,200.40, 25,757.40 and 13,744.40 is: 20,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.40 : 25,757.40 = 13,744.40 : x
  2. Step 2: Convert to fraction form
    17,200.40/25,757.40 = 13,744.40/x
  3. Step 3: Cross multiply
    17,200.40x = 25,757.40 × 13,744.40
  4. Step 4: Simplify right side
    17,200.40x = 354,020,008.56
  5. Step 5: Solve for x
    x = 354,020,008.56/17,200.40
  6. Step 6: Final answer
    x = 20,582.08

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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.