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Finding the Fourth Proportional to 17,082.35, 25,615.29 and 9,684.82

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Solution

The fourth proportional to 17,082.35, 25,615.29 and 9,684.82 is: 14,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.35 : 25,615.29 = 9,684.82 : x
  2. Step 2: Convert to fraction form
    17,082.35/25,615.29 = 9,684.82/x
  3. Step 3: Cross multiply
    17,082.35x = 25,615.29 × 9,684.82
  4. Step 4: Simplify right side
    17,082.35x = 248,079,541.23
  5. Step 5: Solve for x
    x = 248,079,541.23/17,082.35
  6. Step 6: Final answer
    x = 14,522.57

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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.