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Finding the Fourth Proportional to 11,708.36, 17,536.17 and 8,213.93

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Solution

The fourth proportional to 11,708.36, 17,536.17 and 8,213.93 is: 12,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.36 : 17,536.17 = 8,213.93 : x
  2. Step 2: Convert to fraction form
    11,708.36/17,536.17 = 8,213.93/x
  3. Step 3: Cross multiply
    11,708.36x = 17,536.17 × 8,213.93
  4. Step 4: Simplify right side
    11,708.36x = 144,040,872.85
  5. Step 5: Solve for x
    x = 144,040,872.85/11,708.36
  6. Step 6: Final answer
    x = 12,302.40

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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.