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Finding the Fourth Proportional to 12,942.72, 17,861.41 and 7,909.18

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Solution

The fourth proportional to 12,942.72, 17,861.41 and 7,909.18 is: 10,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.72 : 17,861.41 = 7,909.18 : x
  2. Step 2: Convert to fraction form
    12,942.72/17,861.41 = 7,909.18/x
  3. Step 3: Cross multiply
    12,942.72x = 17,861.41 × 7,909.18
  4. Step 4: Simplify right side
    12,942.72x = 141,269,071.98
  5. Step 5: Solve for x
    x = 141,269,071.98/12,942.72
  6. Step 6: Final answer
    x = 10,914.94

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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.