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Finding the Fourth Proportional to 13,082.38, 19,597.29 and 6,052.54

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Solution

The fourth proportional to 13,082.38, 19,597.29 and 6,052.54 is: 9,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.38 : 19,597.29 = 6,052.54 : x
  2. Step 2: Convert to fraction form
    13,082.38/19,597.29 = 6,052.54/x
  3. Step 3: Cross multiply
    13,082.38x = 19,597.29 × 6,052.54
  4. Step 4: Simplify right side
    13,082.38x = 118,613,381.62
  5. Step 5: Solve for x
    x = 118,613,381.62/13,082.38
  6. Step 6: Final answer
    x = 9,066.65

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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.