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Finding the Fourth Proportional to 13,912.81, 19,199.70 and 8,169.16

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Solution

The fourth proportional to 13,912.81, 19,199.70 and 8,169.16 is: 11,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.81 : 19,199.70 = 8,169.16 : x
  2. Step 2: Convert to fraction form
    13,912.81/19,199.70 = 8,169.16/x
  3. Step 3: Cross multiply
    13,912.81x = 19,199.70 × 8,169.16
  4. Step 4: Simplify right side
    13,912.81x = 156,845,325.25
  5. Step 5: Solve for x
    x = 156,845,325.25/13,912.81
  6. Step 6: Final answer
    x = 11,273.45

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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.