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Finding the Fourth Proportional to 17,311.06, 25,969.08 and 5,460.80

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Solution

The fourth proportional to 17,311.06, 25,969.08 and 5,460.80 is: 8,191.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,311.06 : 25,969.08 = 5,460.80 : x
  2. Step 2: Convert to fraction form
    17,311.06/25,969.08 = 5,460.80/x
  3. Step 3: Cross multiply
    17,311.06x = 25,969.08 × 5,460.80
  4. Step 4: Simplify right side
    17,311.06x = 141,811,952.06
  5. Step 5: Solve for x
    x = 141,811,952.06/17,311.06
  6. Step 6: Final answer
    x = 8,191.99

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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.