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Finding the Fourth Proportional to 21,324.68, 31,986.75 and 9,629.72

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Solution

The fourth proportional to 21,324.68, 31,986.75 and 9,629.72 is: 14,444.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324.68 : 31,986.75 = 9,629.72 : x
  2. Step 2: Convert to fraction form
    21,324.68/31,986.75 = 9,629.72/x
  3. Step 3: Cross multiply
    21,324.68x = 31,986.75 × 9,629.72
  4. Step 4: Simplify right side
    21,324.68x = 308,023,446.21
  5. Step 5: Solve for x
    x = 308,023,446.21/21,324.68
  6. Step 6: Final answer
    x = 14,444.46

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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.