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Finding the Fourth Proportional to 22,487.64, 33,732 and 7,696.46

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Solution

The fourth proportional to 22,487.64, 33,732 and 7,696.46 is: 11,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,487.64 : 33,732 = 7,696.46 : x
  2. Step 2: Convert to fraction form
    22,487.64/33,732 = 7,696.46/x
  3. Step 3: Cross multiply
    22,487.64x = 33,732 × 7,696.46
  4. Step 4: Simplify right side
    22,487.64x = 259,616,820.06
  5. Step 5: Solve for x
    x = 259,616,820.06/22,487.64
  6. Step 6: Final answer
    x = 11,544.87

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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.