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Finding the Fourth Proportional to 17,082.58, 25,608.64 and 9,189.34

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Solution

The fourth proportional to 17,082.58, 25,608.64 and 9,189.34 is: 13,775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.58 : 25,608.64 = 9,189.34 : x
  2. Step 2: Convert to fraction form
    17,082.58/25,608.64 = 9,189.34/x
  3. Step 3: Cross multiply
    17,082.58x = 25,608.64 × 9,189.34
  4. Step 4: Simplify right side
    17,082.58x = 235,326,499.90
  5. Step 5: Solve for x
    x = 235,326,499.90/17,082.58
  6. Step 6: Final answer
    x = 13,775.82

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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.