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Finding the Fourth Proportional to 12,276.34, 16,935.96 and 8,296

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Solution

The fourth proportional to 12,276.34, 16,935.96 and 8,296 is: 11,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.34 : 16,935.96 = 8,296 : x
  2. Step 2: Convert to fraction form
    12,276.34/16,935.96 = 8,296/x
  3. Step 3: Cross multiply
    12,276.34x = 16,935.96 × 8,296
  4. Step 4: Simplify right side
    12,276.34x = 140,500,724.16
  5. Step 5: Solve for x
    x = 140,500,724.16/12,276.34
  6. Step 6: Final answer
    x = 11,444.84

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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.