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Finding the Fourth Proportional to 13,082.56, 19,609.86 and 9,516.13

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Solution

The fourth proportional to 13,082.56, 19,609.86 and 9,516.13 is: 14,264.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.56 : 19,609.86 = 9,516.13 : x
  2. Step 2: Convert to fraction form
    13,082.56/19,609.86 = 9,516.13/x
  3. Step 3: Cross multiply
    13,082.56x = 19,609.86 × 9,516.13
  4. Step 4: Simplify right side
    13,082.56x = 186,609,977.04
  5. Step 5: Solve for x
    x = 186,609,977.04/13,082.56
  6. Step 6: Final answer
    x = 14,264.03

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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.