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Finding the Fourth Proportional to 24,707.81, 34,082.94 and 14,626.42

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Solution

The fourth proportional to 24,707.81, 34,082.94 and 14,626.42 is: 20,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,707.81 : 34,082.94 = 14,626.42 : x
  2. Step 2: Convert to fraction form
    24,707.81/34,082.94 = 14,626.42/x
  3. Step 3: Cross multiply
    24,707.81x = 34,082.94 × 14,626.42
  4. Step 4: Simplify right side
    24,707.81x = 498,511,383.03
  5. Step 5: Solve for x
    x = 498,511,383.03/24,707.81
  6. Step 6: Final answer
    x = 20,176.27

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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.