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Finding the Fourth Proportional to 13,764.48, 18,995.28 and 8,456.24

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Solution

The fourth proportional to 13,764.48, 18,995.28 and 8,456.24 is: 11,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.48 : 18,995.28 = 8,456.24 : x
  2. Step 2: Convert to fraction form
    13,764.48/18,995.28 = 8,456.24/x
  3. Step 3: Cross multiply
    13,764.48x = 18,995.28 × 8,456.24
  4. Step 4: Simplify right side
    13,764.48x = 160,628,646.55
  5. Step 5: Solve for x
    x = 160,628,646.55/13,764.48
  6. Step 6: Final answer
    x = 11,669.79

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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.