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Finding the Fourth Proportional to 21,254.67, 31,883.13 and 6,462.47

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Solution

The fourth proportional to 21,254.67, 31,883.13 and 6,462.47 is: 9,694.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.67 : 31,883.13 = 6,462.47 : x
  2. Step 2: Convert to fraction form
    21,254.67/31,883.13 = 6,462.47/x
  3. Step 3: Cross multiply
    21,254.67x = 31,883.13 × 6,462.47
  4. Step 4: Simplify right side
    21,254.67x = 206,043,611.72
  5. Step 5: Solve for x
    x = 206,043,611.72/21,254.67
  6. Step 6: Final answer
    x = 9,694.04

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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.