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Finding the Fourth Proportional to 22,457.31, 33,685.86 and 5,815.92

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Solution

The fourth proportional to 22,457.31, 33,685.86 and 5,815.92 is: 8,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.31 : 33,685.86 = 5,815.92 : x
  2. Step 2: Convert to fraction form
    22,457.31/33,685.86 = 5,815.92/x
  3. Step 3: Cross multiply
    22,457.31x = 33,685.86 × 5,815.92
  4. Step 4: Simplify right side
    22,457.31x = 195,914,266.89
  5. Step 5: Solve for x
    x = 195,914,266.89/22,457.31
  6. Step 6: Final answer
    x = 8,723.85

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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.