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Finding the Fourth Proportional to 13,540.57, 18,686.22 and 7,571.59

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Solution

The fourth proportional to 13,540.57, 18,686.22 and 7,571.59 is: 10,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.57 : 18,686.22 = 7,571.59 : x
  2. Step 2: Convert to fraction form
    13,540.57/18,686.22 = 7,571.59/x
  3. Step 3: Cross multiply
    13,540.57x = 18,686.22 × 7,571.59
  4. Step 4: Simplify right side
    13,540.57x = 141,484,396.49
  5. Step 5: Solve for x
    x = 141,484,396.49/13,540.57
  6. Step 6: Final answer
    x = 10,448.92

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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.