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Finding the Fourth Proportional to 17,200.20, 25,777.62 and 13,297.08

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Solution

The fourth proportional to 17,200.20, 25,777.62 and 13,297.08 is: 19,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.20 : 25,777.62 = 13,297.08 : x
  2. Step 2: Convert to fraction form
    17,200.20/25,777.62 = 13,297.08/x
  3. Step 3: Cross multiply
    17,200.20x = 25,777.62 × 13,297.08
  4. Step 4: Simplify right side
    17,200.20x = 342,767,075.35
  5. Step 5: Solve for x
    x = 342,767,075.35/17,200.20
  6. Step 6: Final answer
    x = 19,928.09

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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.