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Finding the Fourth Proportional to 20,165.87, 30,199.50 and 17,410.25

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Solution

The fourth proportional to 20,165.87, 30,199.50 and 17,410.25 is: 26,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.87 : 30,199.50 = 17,410.25 : x
  2. Step 2: Convert to fraction form
    20,165.87/30,199.50 = 17,410.25/x
  3. Step 3: Cross multiply
    20,165.87x = 30,199.50 × 17,410.25
  4. Step 4: Simplify right side
    20,165.87x = 525,780,920.37
  5. Step 5: Solve for x
    x = 525,780,920.37/20,165.87
  6. Step 6: Final answer
    x = 26,072.81

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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.