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Finding the Fourth Proportional to 16,727.25, 25,082.93 and 9,709.43

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Solution

The fourth proportional to 16,727.25, 25,082.93 and 9,709.43 is: 14,559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,727.25 : 25,082.93 = 9,709.43 : x
  2. Step 2: Convert to fraction form
    16,727.25/25,082.93 = 9,709.43/x
  3. Step 3: Cross multiply
    16,727.25x = 25,082.93 × 9,709.43
  4. Step 4: Simplify right side
    16,727.25x = 243,540,797.84
  5. Step 5: Solve for x
    x = 243,540,797.84/16,727.25
  6. Step 6: Final answer
    x = 14,559.53

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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.