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Finding the Fourth Proportional to 22,344.96, 33,517.43 and 5,705.00

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Solution

The fourth proportional to 22,344.96, 33,517.43 and 5,705.00 is: 8,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,344.96 : 33,517.43 = 5,705.00 : x
  2. Step 2: Convert to fraction form
    22,344.96/33,517.43 = 5,705.00/x
  3. Step 3: Cross multiply
    22,344.96x = 33,517.43 × 5,705.00
  4. Step 4: Simplify right side
    22,344.96x = 191,216,742.04
  5. Step 5: Solve for x
    x = 191,216,742.04/22,344.96
  6. Step 6: Final answer
    x = 8,557.49

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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.