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Finding the Fourth Proportional to 13,290, 19,943.64 and 5,082

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Solution

The fourth proportional to 13,290, 19,943.64 and 5,082 is: 7,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,290 : 19,943.64 = 5,082 : x
  2. Step 2: Convert to fraction form
    13,290/19,943.64 = 5,082/x
  3. Step 3: Cross multiply
    13,290x = 19,943.64 × 5,082
  4. Step 4: Simplify right side
    13,290x = 101,353,578.48
  5. Step 5: Solve for x
    x = 101,353,578.48/13,290
  6. Step 6: Final answer
    x = 7,626.30

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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.