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Finding the Fourth Proportional to 21,175.66, 31,755.88 and 7,132.69

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Solution

The fourth proportional to 21,175.66, 31,755.88 and 7,132.69 is: 10,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.66 : 31,755.88 = 7,132.69 : x
  2. Step 2: Convert to fraction form
    21,175.66/31,755.88 = 7,132.69/x
  3. Step 3: Cross multiply
    21,175.66x = 31,755.88 × 7,132.69
  4. Step 4: Simplify right side
    21,175.66x = 226,504,847.72
  5. Step 5: Solve for x
    x = 226,504,847.72/21,175.66
  6. Step 6: Final answer
    x = 10,696.47

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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.