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Finding the Fourth Proportional to 12,806.71, 19,172.70 and 7,861.35

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Solution

The fourth proportional to 12,806.71, 19,172.70 and 7,861.35 is: 11,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.71 : 19,172.70 = 7,861.35 : x
  2. Step 2: Convert to fraction form
    12,806.71/19,172.70 = 7,861.35/x
  3. Step 3: Cross multiply
    12,806.71x = 19,172.70 × 7,861.35
  4. Step 4: Simplify right side
    12,806.71x = 150,723,377.04
  5. Step 5: Solve for x
    x = 150,723,377.04/12,806.71
  6. Step 6: Final answer
    x = 11,769.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.