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Finding the Fourth Proportional to 13,082.49, 19,626.18 and 5,296.77

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Solution

The fourth proportional to 13,082.49, 19,626.18 and 5,296.77 is: 7,946.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.49 : 19,626.18 = 5,296.77 : x
  2. Step 2: Convert to fraction form
    13,082.49/19,626.18 = 5,296.77/x
  3. Step 3: Cross multiply
    13,082.49x = 19,626.18 × 5,296.77
  4. Step 4: Simplify right side
    13,082.49x = 103,955,361.44
  5. Step 5: Solve for x
    x = 103,955,361.44/13,082.49
  6. Step 6: Final answer
    x = 7,946.14

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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.