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Finding the Fourth Proportional to 13,734.21, 18,950.42 and 8,069.88

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Solution

The fourth proportional to 13,734.21, 18,950.42 and 8,069.88 is: 11,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.21 : 18,950.42 = 8,069.88 : x
  2. Step 2: Convert to fraction form
    13,734.21/18,950.42 = 8,069.88/x
  3. Step 3: Cross multiply
    13,734.21x = 18,950.42 × 8,069.88
  4. Step 4: Simplify right side
    13,734.21x = 152,927,615.35
  5. Step 5: Solve for x
    x = 152,927,615.35/13,734.21
  6. Step 6: Final answer
    x = 11,134.80

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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.