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Finding the Fourth Proportional to 11,706.80, 17,522.72 and 8,201.12

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Solution

The fourth proportional to 11,706.80, 17,522.72 and 8,201.12 is: 12,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.80 : 17,522.72 = 8,201.12 : x
  2. Step 2: Convert to fraction form
    11,706.80/17,522.72 = 8,201.12/x
  3. Step 3: Cross multiply
    11,706.80x = 17,522.72 × 8,201.12
  4. Step 4: Simplify right side
    11,706.80x = 143,705,929.45
  5. Step 5: Solve for x
    x = 143,705,929.45/11,706.80
  6. Step 6: Final answer
    x = 12,275.42

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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.