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Finding the Fourth Proportional to 12,947.94, 17,862.62 and 8,463.92

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Solution

The fourth proportional to 12,947.94, 17,862.62 and 8,463.92 is: 11,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.94 : 17,862.62 = 8,463.92 : x
  2. Step 2: Convert to fraction form
    12,947.94/17,862.62 = 8,463.92/x
  3. Step 3: Cross multiply
    12,947.94x = 17,862.62 × 8,463.92
  4. Step 4: Simplify right side
    12,947.94x = 151,187,655.04
  5. Step 5: Solve for x
    x = 151,187,655.04/12,947.94
  6. Step 6: Final answer
    x = 11,676.58

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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.