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Finding the Fourth Proportional to 13,486.14, 20,082.29 and 13,338.75

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Solution

The fourth proportional to 13,486.14, 20,082.29 and 13,338.75 is: 19,862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.14 : 20,082.29 = 13,338.75 : x
  2. Step 2: Convert to fraction form
    13,486.14/20,082.29 = 13,338.75/x
  3. Step 3: Cross multiply
    13,486.14x = 20,082.29 × 13,338.75
  4. Step 4: Simplify right side
    13,486.14x = 267,872,579.04
  5. Step 5: Solve for x
    x = 267,872,579.04/13,486.14
  6. Step 6: Final answer
    x = 19,862.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.