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Finding the Fourth Proportional to 12,771.64, 17,620.74 and 8,299

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Solution

The fourth proportional to 12,771.64, 17,620.74 and 8,299 is: 11,449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.64 : 17,620.74 = 8,299 : x
  2. Step 2: Convert to fraction form
    12,771.64/17,620.74 = 8,299/x
  3. Step 3: Cross multiply
    12,771.64x = 17,620.74 × 8,299
  4. Step 4: Simplify right side
    12,771.64x = 146,234,521.26
  5. Step 5: Solve for x
    x = 146,234,521.26/12,771.64
  6. Step 6: Final answer
    x = 11,449.94

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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.