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Finding the Fourth Proportional to 12,276.30, 16,935.50 and 8,298.80

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Solution

The fourth proportional to 12,276.30, 16,935.50 and 8,298.80 is: 11,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.30 : 16,935.50 = 8,298.80 : x
  2. Step 2: Convert to fraction form
    12,276.30/16,935.50 = 8,298.80/x
  3. Step 3: Cross multiply
    12,276.30x = 16,935.50 × 8,298.80
  4. Step 4: Simplify right side
    12,276.30x = 140,544,327.40
  5. Step 5: Solve for x
    x = 140,544,327.40/12,276.30
  6. Step 6: Final answer
    x = 11,448.43

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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.