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Finding the Fourth Proportional to 14,157.12, 19,537.20 and 8,189.28

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Solution

The fourth proportional to 14,157.12, 19,537.20 and 8,189.28 is: 11,301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.12 : 19,537.20 = 8,189.28 : x
  2. Step 2: Convert to fraction form
    14,157.12/19,537.20 = 8,189.28/x
  3. Step 3: Cross multiply
    14,157.12x = 19,537.20 × 8,189.28
  4. Step 4: Simplify right side
    14,157.12x = 159,995,601.22
  5. Step 5: Solve for x
    x = 159,995,601.22/14,157.12
  6. Step 6: Final answer
    x = 11,301.42

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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.