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Finding the Fourth Proportional to 14,157.27, 19,537.41 and 8,189.33

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Solution

The fourth proportional to 14,157.27, 19,537.41 and 8,189.33 is: 11,301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.27 : 19,537.41 = 8,189.33 : x
  2. Step 2: Convert to fraction form
    14,157.27/19,537.41 = 8,189.33/x
  3. Step 3: Cross multiply
    14,157.27x = 19,537.41 × 8,189.33
  4. Step 4: Simplify right side
    14,157.27x = 159,998,200.15
  5. Step 5: Solve for x
    x = 159,998,200.15/14,157.27
  6. Step 6: Final answer
    x = 11,301.49

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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.