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Finding the Fourth Proportional to 19,689.72, 29,540.45 and 9,165.96

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Solution

The fourth proportional to 19,689.72, 29,540.45 and 9,165.96 is: 13,751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.72 : 29,540.45 = 9,165.96 : x
  2. Step 2: Convert to fraction form
    19,689.72/29,540.45 = 9,165.96/x
  3. Step 3: Cross multiply
    19,689.72x = 29,540.45 × 9,165.96
  4. Step 4: Simplify right side
    19,689.72x = 270,766,554.44
  5. Step 5: Solve for x
    x = 270,766,554.44/19,689.72
  6. Step 6: Final answer
    x = 13,751.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.