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Finding the Fourth Proportional to 12,774.14, 17,618.33 and 8,299.34

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Solution

The fourth proportional to 12,774.14, 17,618.33 and 8,299.34 is: 11,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.14 : 17,618.33 = 8,299.34 : x
  2. Step 2: Convert to fraction form
    12,774.14/17,618.33 = 8,299.34/x
  3. Step 3: Cross multiply
    12,774.14x = 17,618.33 × 8,299.34
  4. Step 4: Simplify right side
    12,774.14x = 146,220,510.90
  5. Step 5: Solve for x
    x = 146,220,510.90/12,774.14
  6. Step 6: Final answer
    x = 11,446.60

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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.