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Finding the Fourth Proportional to 13,400.34, 18,491.81 and 7,431.87

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Solution

The fourth proportional to 13,400.34, 18,491.81 and 7,431.87 is: 10,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.34 : 18,491.81 = 7,431.87 : x
  2. Step 2: Convert to fraction form
    13,400.34/18,491.81 = 7,431.87/x
  3. Step 3: Cross multiply
    13,400.34x = 18,491.81 × 7,431.87
  4. Step 4: Simplify right side
    13,400.34x = 137,428,697.96
  5. Step 5: Solve for x
    x = 137,428,697.96/13,400.34
  6. Step 6: Final answer
    x = 10,255.62

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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.