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Finding the Fourth Proportional to 17,082.93, 25,616.18 and 9,685.40

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Solution

The fourth proportional to 17,082.93, 25,616.18 and 9,685.40 is: 14,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.93 : 25,616.18 = 9,685.40 : x
  2. Step 2: Convert to fraction form
    17,082.93/25,616.18 = 9,685.40/x
  3. Step 3: Cross multiply
    17,082.93x = 25,616.18 × 9,685.40
  4. Step 4: Simplify right side
    17,082.93x = 248,102,949.77
  5. Step 5: Solve for x
    x = 248,102,949.77/17,082.93
  6. Step 6: Final answer
    x = 14,523.44

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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.