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Finding the Fourth Proportional to 13,140.70, 18,149.25 and 9,571.56

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Solution

The fourth proportional to 13,140.70, 18,149.25 and 9,571.56 is: 13,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,140.70 : 18,149.25 = 9,571.56 : x
  2. Step 2: Convert to fraction form
    13,140.70/18,149.25 = 9,571.56/x
  3. Step 3: Cross multiply
    13,140.70x = 18,149.25 × 9,571.56
  4. Step 4: Simplify right side
    13,140.70x = 173,716,635.33
  5. Step 5: Solve for x
    x = 173,716,635.33/13,140.70
  6. Step 6: Final answer
    x = 13,219.74

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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.