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Finding the Fourth Proportional to 17,189.66, 25,777.20 and 6,099.14

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Solution

The fourth proportional to 17,189.66, 25,777.20 and 6,099.14 is: 9,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,189.66 : 25,777.20 = 6,099.14 : x
  2. Step 2: Convert to fraction form
    17,189.66/25,777.20 = 6,099.14/x
  3. Step 3: Cross multiply
    17,189.66x = 25,777.20 × 6,099.14
  4. Step 4: Simplify right side
    17,189.66x = 157,218,751.61
  5. Step 5: Solve for x
    x = 157,218,751.61/17,189.66
  6. Step 6: Final answer
    x = 9,146.12

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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.