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Finding the Fourth Proportional to 16,744.53, 23,082.78 and 12,758.73

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Solution

The fourth proportional to 16,744.53, 23,082.78 and 12,758.73 is: 17,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,744.53 : 23,082.78 = 12,758.73 : x
  2. Step 2: Convert to fraction form
    16,744.53/23,082.78 = 12,758.73/x
  3. Step 3: Cross multiply
    16,744.53x = 23,082.78 × 12,758.73
  4. Step 4: Simplify right side
    16,744.53x = 294,506,957.67
  5. Step 5: Solve for x
    x = 294,506,957.67/16,744.53
  6. Step 6: Final answer
    x = 17,588.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.