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Finding the Fourth Proportional to 13,744.08, 20,616.48 and 7,897.92

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Solution

The fourth proportional to 13,744.08, 20,616.48 and 7,897.92 is: 11,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.08 : 20,616.48 = 7,897.92 : x
  2. Step 2: Convert to fraction form
    13,744.08/20,616.48 = 7,897.92/x
  3. Step 3: Cross multiply
    13,744.08x = 20,616.48 × 7,897.92
  4. Step 4: Simplify right side
    13,744.08x = 162,827,309.72
  5. Step 5: Solve for x
    x = 162,827,309.72/13,744.08
  6. Step 6: Final answer
    x = 11,847.09

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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.