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Finding the Fourth Proportional to 17,131.76, 23,640.01 and 9,577.30

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Solution

The fourth proportional to 17,131.76, 23,640.01 and 9,577.30 is: 13,215.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,131.76 : 23,640.01 = 9,577.30 : x
  2. Step 2: Convert to fraction form
    17,131.76/23,640.01 = 9,577.30/x
  3. Step 3: Cross multiply
    17,131.76x = 23,640.01 × 9,577.30
  4. Step 4: Simplify right side
    17,131.76x = 226,407,467.77
  5. Step 5: Solve for x
    x = 226,407,467.77/17,131.76
  6. Step 6: Final answer
    x = 13,215.66

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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.