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Finding the Fourth Proportional to 22,349.64, 33,524.75 and 9,696.49

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Solution

The fourth proportional to 22,349.64, 33,524.75 and 9,696.49 is: 14,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,349.64 : 33,524.75 = 9,696.49 : x
  2. Step 2: Convert to fraction form
    22,349.64/33,524.75 = 9,696.49/x
  3. Step 3: Cross multiply
    22,349.64x = 33,524.75 × 9,696.49
  4. Step 4: Simplify right side
    22,349.64x = 325,072,403.13
  5. Step 5: Solve for x
    x = 325,072,403.13/22,349.64
  6. Step 6: Final answer
    x = 14,544.86

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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.