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Finding the Fourth Proportional to 13,538.88, 18,677.52 and 8,232.48

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Solution

The fourth proportional to 13,538.88, 18,677.52 and 8,232.48 is: 11,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.88 : 18,677.52 = 8,232.48 : x
  2. Step 2: Convert to fraction form
    13,538.88/18,677.52 = 8,232.48/x
  3. Step 3: Cross multiply
    13,538.88x = 18,677.52 × 8,232.48
  4. Step 4: Simplify right side
    13,538.88x = 153,762,309.85
  5. Step 5: Solve for x
    x = 153,762,309.85/13,538.88
  6. Step 6: Final answer
    x = 11,357.09

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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.