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Finding the Fourth Proportional to 21,175.88, 31,756.83 and 7,132.42

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Solution

The fourth proportional to 21,175.88, 31,756.83 and 7,132.42 is: 10,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.88 : 31,756.83 = 7,132.42 : x
  2. Step 2: Convert to fraction form
    21,175.88/31,756.83 = 7,132.42/x
  3. Step 3: Cross multiply
    21,175.88x = 31,756.83 × 7,132.42
  4. Step 4: Simplify right side
    21,175.88x = 226,503,049.43
  5. Step 5: Solve for x
    x = 226,503,049.43/21,175.88
  6. Step 6: Final answer
    x = 10,696.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.