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Finding the Fourth Proportional to 12,903.84, 17,797.68 and 8,189.52

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Solution

The fourth proportional to 12,903.84, 17,797.68 and 8,189.52 is: 11,295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,903.84 : 17,797.68 = 8,189.52 : x
  2. Step 2: Convert to fraction form
    12,903.84/17,797.68 = 8,189.52/x
  3. Step 3: Cross multiply
    12,903.84x = 17,797.68 × 8,189.52
  4. Step 4: Simplify right side
    12,903.84x = 145,754,456.31
  5. Step 5: Solve for x
    x = 145,754,456.31/12,903.84
  6. Step 6: Final answer
    x = 11,295.43

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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.