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Finding the Fourth Proportional to 21,157.67, 31,738.61 and 7,834.22

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Solution

The fourth proportional to 21,157.67, 31,738.61 and 7,834.22 is: 11,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,157.67 : 31,738.61 = 7,834.22 : x
  2. Step 2: Convert to fraction form
    21,157.67/31,738.61 = 7,834.22/x
  3. Step 3: Cross multiply
    21,157.67x = 31,738.61 × 7,834.22
  4. Step 4: Simplify right side
    21,157.67x = 248,647,214.06
  5. Step 5: Solve for x
    x = 248,647,214.06/21,157.67
  6. Step 6: Final answer
    x = 11,752.11

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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.