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Finding the Fourth Proportional to 13,666.71, 18,861.87 and 7,699.56

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Solution

The fourth proportional to 13,666.71, 18,861.87 and 7,699.56 is: 10,626.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.71 : 18,861.87 = 7,699.56 : x
  2. Step 2: Convert to fraction form
    13,666.71/18,861.87 = 7,699.56/x
  3. Step 3: Cross multiply
    13,666.71x = 18,861.87 × 7,699.56
  4. Step 4: Simplify right side
    13,666.71x = 145,228,099.78
  5. Step 5: Solve for x
    x = 145,228,099.78/13,666.71
  6. Step 6: Final answer
    x = 10,626.41

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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.