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Finding the Fourth Proportional to 17,274.58, 25,914.30 and 8,509.57

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Solution

The fourth proportional to 17,274.58, 25,914.30 and 8,509.57 is: 12,765.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,274.58 : 25,914.30 = 8,509.57 : x
  2. Step 2: Convert to fraction form
    17,274.58/25,914.30 = 8,509.57/x
  3. Step 3: Cross multiply
    17,274.58x = 25,914.30 × 8,509.57
  4. Step 4: Simplify right side
    17,274.58x = 220,519,549.85
  5. Step 5: Solve for x
    x = 220,519,549.85/17,274.58
  6. Step 6: Final answer
    x = 12,765.55

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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.