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Finding the Fourth Proportional to 13,561.50, 18,709.65 and 8,523.66

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Solution

The fourth proportional to 13,561.50, 18,709.65 and 8,523.66 is: 11,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561.50 : 18,709.65 = 8,523.66 : x
  2. Step 2: Convert to fraction form
    13,561.50/18,709.65 = 8,523.66/x
  3. Step 3: Cross multiply
    13,561.50x = 18,709.65 × 8,523.66
  4. Step 4: Simplify right side
    13,561.50x = 159,474,695.32
  5. Step 5: Solve for x
    x = 159,474,695.32/13,561.50
  6. Step 6: Final answer
    x = 11,759.37

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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.