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Finding the Fourth Proportional to 17,494.31, 24,142.46 and 9,536.87

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Solution

The fourth proportional to 17,494.31, 24,142.46 and 9,536.87 is: 13,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,494.31 : 24,142.46 = 9,536.87 : x
  2. Step 2: Convert to fraction form
    17,494.31/24,142.46 = 9,536.87/x
  3. Step 3: Cross multiply
    17,494.31x = 24,142.46 × 9,536.87
  4. Step 4: Simplify right side
    17,494.31x = 230,243,334.10
  5. Step 5: Solve for x
    x = 230,243,334.10/17,494.31
  6. Step 6: Final answer
    x = 13,161.04

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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.