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Finding the Fourth Proportional to 21,271.16, 31,910.19 and 7,232.44

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Solution

The fourth proportional to 21,271.16, 31,910.19 and 7,232.44 is: 10,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,271.16 : 31,910.19 = 7,232.44 : x
  2. Step 2: Convert to fraction form
    21,271.16/31,910.19 = 7,232.44/x
  3. Step 3: Cross multiply
    21,271.16x = 31,910.19 × 7,232.44
  4. Step 4: Simplify right side
    21,271.16x = 230,788,375.01
  5. Step 5: Solve for x
    x = 230,788,375.01/21,271.16
  6. Step 6: Final answer
    x = 10,849.83

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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.