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Finding the Fourth Proportional to 12,772.32, 17,623.08 and 7,735.56

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Solution

The fourth proportional to 12,772.32, 17,623.08 and 7,735.56 is: 10,673.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.32 : 17,623.08 = 7,735.56 : x
  2. Step 2: Convert to fraction form
    12,772.32/17,623.08 = 7,735.56/x
  3. Step 3: Cross multiply
    12,772.32x = 17,623.08 × 7,735.56
  4. Step 4: Simplify right side
    12,772.32x = 136,324,392.72
  5. Step 5: Solve for x
    x = 136,324,392.72/12,772.32
  6. Step 6: Final answer
    x = 10,673.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.