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Finding the Fourth Proportional to 21,523.68, 32,287.37 and 5,941.31

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Solution

The fourth proportional to 21,523.68, 32,287.37 and 5,941.31 is: 8,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523.68 : 32,287.37 = 5,941.31 : x
  2. Step 2: Convert to fraction form
    21,523.68/32,287.37 = 5,941.31/x
  3. Step 3: Cross multiply
    21,523.68x = 32,287.37 × 5,941.31
  4. Step 4: Simplify right side
    21,523.68x = 191,829,083.11
  5. Step 5: Solve for x
    x = 191,829,083.11/21,523.68
  6. Step 6: Final answer
    x = 8,912.47

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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.