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Finding the Fourth Proportional to 17,131.68, 23,642.24 and 9,577.76

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Solution

The fourth proportional to 17,131.68, 23,642.24 and 9,577.76 is: 13,217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,131.68 : 23,642.24 = 9,577.76 : x
  2. Step 2: Convert to fraction form
    17,131.68/23,642.24 = 9,577.76/x
  3. Step 3: Cross multiply
    17,131.68x = 23,642.24 × 9,577.76
  4. Step 4: Simplify right side
    17,131.68x = 226,439,534.48
  5. Step 5: Solve for x
    x = 226,439,534.48/17,131.68
  6. Step 6: Final answer
    x = 13,217.59

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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.