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Finding the Fourth Proportional to 13,400.40, 18,491.34 and 7,431.60

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Solution

The fourth proportional to 13,400.40, 18,491.34 and 7,431.60 is: 10,254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.40 : 18,491.34 = 7,431.60 : x
  2. Step 2: Convert to fraction form
    13,400.40/18,491.34 = 7,431.60/x
  3. Step 3: Cross multiply
    13,400.40x = 18,491.34 × 7,431.60
  4. Step 4: Simplify right side
    13,400.40x = 137,420,242.34
  5. Step 5: Solve for x
    x = 137,420,242.34/13,400.40
  6. Step 6: Final answer
    x = 10,254.94

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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.