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Finding the Fourth Proportional to 12,729.84, 17,563.58 and 8,253.78

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Solution

The fourth proportional to 12,729.84, 17,563.58 and 8,253.78 is: 11,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.84 : 17,563.58 = 8,253.78 : x
  2. Step 2: Convert to fraction form
    12,729.84/17,563.58 = 8,253.78/x
  3. Step 3: Cross multiply
    12,729.84x = 17,563.58 × 8,253.78
  4. Step 4: Simplify right side
    12,729.84x = 144,965,925.33
  5. Step 5: Solve for x
    x = 144,965,925.33/12,729.84
  6. Step 6: Final answer
    x = 11,387.88

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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.