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Finding the Fourth Proportional to 14,108.48, 19,469.92 and 7,735.65

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Solution

The fourth proportional to 14,108.48, 19,469.92 and 7,735.65 is: 10,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,108.48 : 19,469.92 = 7,735.65 : x
  2. Step 2: Convert to fraction form
    14,108.48/19,469.92 = 7,735.65/x
  3. Step 3: Cross multiply
    14,108.48x = 19,469.92 × 7,735.65
  4. Step 4: Simplify right side
    14,108.48x = 150,612,583.83
  5. Step 5: Solve for x
    x = 150,612,583.83/14,108.48
  6. Step 6: Final answer
    x = 10,675.32

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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.