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Finding the Fourth Proportional to 22,304.94, 33,457.46 and 7,524.23

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Solution

The fourth proportional to 22,304.94, 33,457.46 and 7,524.23 is: 11,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304.94 : 33,457.46 = 7,524.23 : x
  2. Step 2: Convert to fraction form
    22,304.94/33,457.46 = 7,524.23/x
  3. Step 3: Cross multiply
    22,304.94x = 33,457.46 × 7,524.23
  4. Step 4: Simplify right side
    22,304.94x = 251,741,419.35
  5. Step 5: Solve for x
    x = 251,741,419.35/22,304.94
  6. Step 6: Final answer
    x = 11,286.35

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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.