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Finding the Fourth Proportional to 17,338.20, 25,991.34 and 5,645.40

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Solution

The fourth proportional to 17,338.20, 25,991.34 and 5,645.40 is: 8,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,338.20 : 25,991.34 = 5,645.40 : x
  2. Step 2: Convert to fraction form
    17,338.20/25,991.34 = 5,645.40/x
  3. Step 3: Cross multiply
    17,338.20x = 25,991.34 × 5,645.40
  4. Step 4: Simplify right side
    17,338.20x = 146,731,510.84
  5. Step 5: Solve for x
    x = 146,731,510.84/17,338.20
  6. Step 6: Final answer
    x = 8,462.90

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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.