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Finding the Fourth Proportional to 13,764.24, 18,992.88 and 8,102.16

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Solution

The fourth proportional to 13,764.24, 18,992.88 and 8,102.16 is: 11,179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.24 : 18,992.88 = 8,102.16 : x
  2. Step 2: Convert to fraction form
    13,764.24/18,992.88 = 8,102.16/x
  3. Step 3: Cross multiply
    13,764.24x = 18,992.88 × 8,102.16
  4. Step 4: Simplify right side
    13,764.24x = 153,883,352.62
  5. Step 5: Solve for x
    x = 153,883,352.62/13,764.24
  6. Step 6: Final answer
    x = 11,179.94

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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.