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Finding the Fourth Proportional to 21,811.68, 32,723.19 and 6,229.31

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Solution

The fourth proportional to 21,811.68, 32,723.19 and 6,229.31 is: 9,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811.68 : 32,723.19 = 6,229.31 : x
  2. Step 2: Convert to fraction form
    21,811.68/32,723.19 = 6,229.31/x
  3. Step 3: Cross multiply
    21,811.68x = 32,723.19 × 6,229.31
  4. Step 4: Simplify right side
    21,811.68x = 203,842,731.08
  5. Step 5: Solve for x
    x = 203,842,731.08/21,811.68
  6. Step 6: Final answer
    x = 9,345.58

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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.