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Finding the Fourth Proportional to 11,618.34, 17,427.24 and 2,853.24

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Solution

The fourth proportional to 11,618.34, 17,427.24 and 2,853.24 is: 4,279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.34 : 17,427.24 = 2,853.24 : x
  2. Step 2: Convert to fraction form
    11,618.34/17,427.24 = 2,853.24/x
  3. Step 3: Cross multiply
    11,618.34x = 17,427.24 × 2,853.24
  4. Step 4: Simplify right side
    11,618.34x = 49,724,098.26
  5. Step 5: Solve for x
    x = 49,724,098.26/11,618.34
  6. Step 6: Final answer
    x = 4,279.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.