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Finding the Fourth Proportional to 22,423.72, 33,625.82 and 7,628.64

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Solution

The fourth proportional to 22,423.72, 33,625.82 and 7,628.64 is: 11,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,423.72 : 33,625.82 = 7,628.64 : x
  2. Step 2: Convert to fraction form
    22,423.72/33,625.82 = 7,628.64/x
  3. Step 3: Cross multiply
    22,423.72x = 33,625.82 × 7,628.64
  4. Step 4: Simplify right side
    22,423.72x = 256,519,275.48
  5. Step 5: Solve for x
    x = 256,519,275.48/22,423.72
  6. Step 6: Final answer
    x = 11,439.64

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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.