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Finding the Fourth Proportional to 12,783.64, 17,649.52 and 8,757.22

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Solution

The fourth proportional to 12,783.64, 17,649.52 and 8,757.22 is: 12,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.64 : 17,649.52 = 8,757.22 : x
  2. Step 2: Convert to fraction form
    12,783.64/17,649.52 = 8,757.22/x
  3. Step 3: Cross multiply
    12,783.64x = 17,649.52 × 8,757.22
  4. Step 4: Simplify right side
    12,783.64x = 154,560,729.53
  5. Step 5: Solve for x
    x = 154,560,729.53/12,783.64
  6. Step 6: Final answer
    x = 12,090.51

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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.