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Finding the Fourth Proportional to 12,536.89, 17,288.97 and 7,500.31

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Solution

The fourth proportional to 12,536.89, 17,288.97 and 7,500.31 is: 10,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.89 : 17,288.97 = 7,500.31 : x
  2. Step 2: Convert to fraction form
    12,536.89/17,288.97 = 7,500.31/x
  3. Step 3: Cross multiply
    12,536.89x = 17,288.97 × 7,500.31
  4. Step 4: Simplify right side
    12,536.89x = 129,672,634.58
  5. Step 5: Solve for x
    x = 129,672,634.58/12,536.89
  6. Step 6: Final answer
    x = 10,343.29

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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.