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Finding the Fourth Proportional to 12,276.84, 16,936.64 and 8,296.50

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Solution

The fourth proportional to 12,276.84, 16,936.64 and 8,296.50 is: 11,445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.84 : 16,936.64 = 8,296.50 : x
  2. Step 2: Convert to fraction form
    12,276.84/16,936.64 = 8,296.50/x
  3. Step 3: Cross multiply
    12,276.84x = 16,936.64 × 8,296.50
  4. Step 4: Simplify right side
    12,276.84x = 140,514,833.76
  5. Step 5: Solve for x
    x = 140,514,833.76/12,276.84
  6. Step 6: Final answer
    x = 11,445.52

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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.