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Finding the Fourth Proportional to 12,940.74, 17,814.17 and 9,577.22

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Solution

The fourth proportional to 12,940.74, 17,814.17 and 9,577.22 is: 13,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.74 : 17,814.17 = 9,577.22 : x
  2. Step 2: Convert to fraction form
    12,940.74/17,814.17 = 9,577.22/x
  3. Step 3: Cross multiply
    12,940.74x = 17,814.17 × 9,577.22
  4. Step 4: Simplify right side
    12,940.74x = 170,610,160.08
  5. Step 5: Solve for x
    x = 170,610,160.08/12,940.74
  6. Step 6: Final answer
    x = 13,183.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.