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Finding the Fourth Proportional to 21,022.43, 31,536.95 and 6,232.82

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Solution

The fourth proportional to 21,022.43, 31,536.95 and 6,232.82 is: 9,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,022.43 : 31,536.95 = 6,232.82 : x
  2. Step 2: Convert to fraction form
    21,022.43/31,536.95 = 6,232.82/x
  3. Step 3: Cross multiply
    21,022.43x = 31,536.95 × 6,232.82
  4. Step 4: Simplify right side
    21,022.43x = 196,563,943.85
  5. Step 5: Solve for x
    x = 196,563,943.85/21,022.43
  6. Step 6: Final answer
    x = 9,350.20

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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.