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Finding the Fourth Proportional to 13,540.34, 18,683.98 and 7,571.04

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Solution

The fourth proportional to 13,540.34, 18,683.98 and 7,571.04 is: 10,447.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.34 : 18,683.98 = 7,571.04 : x
  2. Step 2: Convert to fraction form
    13,540.34/18,683.98 = 7,571.04/x
  3. Step 3: Cross multiply
    13,540.34x = 18,683.98 × 7,571.04
  4. Step 4: Simplify right side
    13,540.34x = 141,457,141.01
  5. Step 5: Solve for x
    x = 141,457,141.01/13,540.34
  6. Step 6: Final answer
    x = 10,447.09

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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.