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Finding the Fourth Proportional to 13,082.49, 19,590.90 and 6,820.38

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Solution

The fourth proportional to 13,082.49, 19,590.90 and 6,820.38 is: 10,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.49 : 19,590.90 = 6,820.38 : x
  2. Step 2: Convert to fraction form
    13,082.49/19,590.90 = 6,820.38/x
  3. Step 3: Cross multiply
    13,082.49x = 19,590.90 × 6,820.38
  4. Step 4: Simplify right side
    13,082.49x = 133,617,382.54
  5. Step 5: Solve for x
    x = 133,617,382.54/13,082.49
  6. Step 6: Final answer
    x = 10,213.45

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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.